A169452 -id:A169452 - cp's OEIS frontend

A162851 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

1, 37, 1332, 47286, 1678320, 59557050, 2113447770, 74997827100, 2661373678950, 94441530616650, 3351353019273000, 118926143828399250, 4220214225380039250, 149758560520153357500, 5314333645481777358750, 188584492248078150341250

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170756, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..643
Index entries for linear recurrences with constant coefficients, signature (35, 35, -630).

a:=[37, 1332, 47286];; for n in [4..20] do a[n]:=35*a[n-1]+ 35*a[n-2]-630*a[n-3]; od; Concatenation([1], a); # G. C. Greubel, Apr 26 2019

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 +2*t^2+2*t+1)/(630*t^3-35*t^2-35*t+1))); // G. C. Greubel, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(630*t^3-35*t^2-35*t+1), {t, 0, 20}], t] (* or *) LinearRecurrence[{35, 35, -630}, {1, 37, 1332}, 20] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 630, -35}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 26 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(630*t^3-35*t^2-35*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1-36*x+665*x^3-630*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 26 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(630*t^3 - 35*t^2 - 35*t + 1).
G.f.: (1+x)*(1-x^3)/(1 - 36*x + 665*x^3 - 630*x^4). - G. C. Greubel, Apr 26 2019
a(n) = 35*a(n-1)+35*a(n-2)-630*a(n-3). - Wesley Ivan Hurt, May 05 2021

A162858 Number of reduced words of length n in Coxeter group on 38 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 38, 1406, 51319, 1872792, 68331600, 2493179658, 90967125816, 3319062151464, 121100596329852, 4418523599533920, 161215975658220768, 5882188976123487336, 214619841546851901024, 7830703259038738949472

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170757, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..638
Index entries for linear recurrences with constant coefficients, signature (36, 36, -666).

a:=[38,1406,51319];; for n in [4..20] do a[n]:=36*a[n-1]+36*a[n-2]-666*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 25 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(666*t^3-36*t^2-36*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(666*x^3-36*x^2-36*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 25 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(666*t^3-36*t^2-36*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 666, -36}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 27 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(666*t^3-36*t^2-36*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1 -37*x +702*x^3 -666*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 26 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(666*t^3 - 36*t^2 - 36*t + 1).
a(n) = 36*a(n-1) + 36*a(n-2) - 666*a(n-3), n > 0. - Muniru A Asiru, Oct 25 2018
G.f.: (1+x)*(1-x^3)/(1 - 37*x + 702*x^3 - 666*x^4). - G. C. Greubel, Apr 27 2019

A162871 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 39, 1482, 55575, 2083692, 78111033, 2928135600, 109766289945, 4114781688966, 154249795892907, 5782323668697966, 216760526662519203, 8125647855742321632, 304604136609884440797, 11418619374984439210164

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170758, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..615
Index entries for linear recurrences with constant coefficients, signature (37, 37, -703).

a:=[39,1482,55575];; for n in [4..15] do a[n]:=37*a[n-1]+37*a[n-2]-703*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(703*t^3-37*t^2-37*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(703*x^3-37*x^2-37*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

coxG[{3,703,-37}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jun 25 2018 *)
CoefficientList[Series[(t^3+2*t^2+2*t+1)/(703*t^3-37*t^2-37*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(703*t^3-37*t^2-37*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1 -38*x +740*x^3 -703*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 27 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(703*t^3 - 37*t^2 - 37*t + 1).
a(n) = 37*a(n-1) + 37*a(n-2) - 703*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 - 38*x + 740*x^3 - 703*x^4). - G. C. Greubel, Apr 27 2019

A162877 Number of reduced words of length n in Coxeter group on 40 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 40, 1560, 60060, 2311920, 88979280, 3424561140, 131801403240, 5072652999960, 195231667516860, 7513899339838320, 289188142406526480, 11130010920731869140, 428361764988438838440, 16486399071025250766360

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170759, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..615
Index entries for linear recurrences with constant coefficients, signature (38, 38, -741).

a:=[40,1560,60060];; for n in [4..20] do a[n]:=38*a[n-1]+38*a[n-2] -741*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(741*t^3-38*t^2-38*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(741*x^3-38*x^2-38*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

coxG[{3,741,-38}] (* The coxG program is at A169452 *) (* Harvey P. Dale, Jan 29 2017 *)
CoefficientList[Series[(t^3+2*t^2+2*t+1)/(741*t^3-38*t^2-38*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(741*t^3-38*t^2-38*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1 -39*x +779*x^3 -741*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 27 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(741*t^3 - 38*t^2 - 38*t + 1).
a(n) = 38*a(n-1) + 38*a(n-2) - 741*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 - 39*x + 779*x^3 - 741*x^4). - G. C. Greubel, Apr 27 2019

A162878 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 41, 1640, 64780, 2558400, 101024820, 3989217180, 157523886000, 6220211664420, 245620097065980, 9698903409405600, 382984651654144020, 15123074971766970780, 597171180654087109200, 23580747941118076783620

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170760, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..615
Index entries for linear recurrences with constant coefficients, signature (39, 39, -780).

a:=[41,1640,64780];; for n in [4..20] do a[n]:=39*a[n-1]+39*a[n-2] -780*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(780*t^3-39*t^2-39*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(780*x^3-39*x^2-39*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(780*t^3-39*t^2-39*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 780, -39}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 27 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(780*t^3-39*t^2-39*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1-40*x+819*x^3-780*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 27 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(780*t^3 - 39*t^2 - 39*t + 1).
a(n) = 39*a(n-1) + 39*a(n-2) - 780*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 - 40*x + 819*x^3 - 780*x^4). - G. C. Greubel, Apr 27 2019

A162879 Number of reduced words of length n in Coxeter group on 42 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 42, 1722, 69741, 2824080, 114340800, 4629407580, 187434189600, 7588784431200, 307252630616400, 12439960566432000, 503665724648352000, 20392280251485912000, 825637071380896320000, 33428168171083640640000

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170761, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

Vincenzo Librandi, Table of n, a(n) for n = 0..500
Index entries for linear recurrences with constant coefficients, signature (40, 40, -820).

Cf. A154638, A170761.

a:=[42,1722,69741];; for n in [4..20] do a[n]:=40*a[n-1]+40*a[n-2] -820*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

I:=[1,42,1722,69741]; [n le 4 select I[n] else 40*Self(n-1) +40*Self(n-2)-820*Self(n-3): n in [1..20]]; // Vincenzo Librandi, Apr 14 2017

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 +2*t^2+2*t+1)/(820*t^3-40*t^2-40*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(820*x^3-40*x^2-40*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(820*t^3-40*t^2-40*t+1), {t, 0, 20}], t] (* Wesley Ivan Hurt, Apr 12 2017 *)
Join[{1}, LinearRecurrence[{40, 40, -820}, {42, 1722, 69741}, 20]] (* Vincenzo Librandi, Apr 14 2017 *)
coxG[{3, 820, -40}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 27 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(820*t^3-40*t^2-40*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1 -41*x +860*x^3 -820*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 27 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(820*t^3 - 40*t^2 - 40*t + 1).
a(n) = 40*a(n-1) + 40*a(n-2) - 820*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 - 41*x + 860*x^3 - 820*x^4). - G. C. Greubel, Apr 27 2019

A162881 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 43, 1806, 74949, 3109932, 129025155, 5353007478, 222085686501, 9213895794684, 382266301290027, 15859472304395790, 657978118553895573, 27298209939779232636, 1132548704737573481379, 46987204341696557186262

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170762, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..615
Index entries for linear recurrences with constant coefficients, signature (41, 41, -861).

a:=[43,1806,74949];; for n in [4..20] do a[n]:=41*a[n-1]+41*a[n-2] -861*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(861*t^3-41*t^2-41*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(861*x^3-41*x^2-41*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(861*t^3-41*t^2-41*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 861, -41}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 27 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(861*t^3-41*t^2-41*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1 -42*x +902*x^3 -861*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 27 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(861*t^3 - 41*t^2 - 41*t + 1).
a(n) = 41*a(n-1) + 41*a(n-2) - 861*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 -42*x + 902*x^3 - 861*x^4). - G. C. Greubel, Apr 27 2019

A162882 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 44, 1892, 80410, 3416952, 145180728, 6168492330, 262088760780, 11135706433236, 473137249574682, 20102798001348216, 854133737629549608, 36290691560131770762, 1541929835910758016492, 65513979388697887768644

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

The initial terms coincide with those of A170763, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..612
Index entries for linear recurrences with constant coefficients, signature (42, 42, -903).

a:=[44,1892,80410];; for n in [4..20] do a[n]:=42*a[n-1]+42*a[n-2] -903*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(903*t^3-42*t^2-42*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(903*x^3-42*x^2-42*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(903*t^3-42*t^2-42*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 903, -42}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 27 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(903*t^3-42*t^2-42*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1 -43*x +945*x^3 -903*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 27 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(903*t^3 - 42*t^2 - 42*t + 1).
a(n) = 42*a(n-1) + 42*a(n-2) - 903*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 - 43*x + 945*x^3 - 903*x^4). - G. C. Greubel, Apr 27 2019

A162885 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 45, 1980, 86130, 3746160, 162915390, 7084967670, 308115104220, 13399485132330, 582724430755830, 25341851494598760, 1102080851855063190, 47927918932540448670, 2084316599215116583020, 90643945794494362584930

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170764, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..609
Index entries for linear recurrences with constant coefficients, signature (43, 43, -946).

a:=[45,1980,86130];; for n in [4..20] do a[n]:=43*a[n-1]+43*a[n-2] -946*a[n-3]; od; Concatenation([1],a); # Muniru A Asiru, Oct 24 2018

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!(( t^3+ 2*t^2+2*t+1)/(946*t^3-43*t^2-43*t+1))); // G. C. Greubel, Oct 24 2018

seq(coeff(series((x^3+2*x^2+2*x+1)/(946*x^3-43*x^2-43*x+1),x,n+1), x, n), n = 0 .. 20); # Muniru A Asiru, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(946*t^3-43*t^2-43*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 946, -43}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 28 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(946*t^3-43*t^2-43*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1-44*x+990*x^3-946*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 28 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(946*t^3 - 43*t^2 - 43*t + 1).
a(n) = 43*a(n-1) + 43*a(n-2) - 946*a(n-3), n > 0. - Muniru A Asiru, Oct 24 2018
G.f.: (1+x)*(1-x^3)/(1 - 44*x + 990*x^3 - 946*x^4). - G. C. Greubel, Apr 28 2019

A162889 Number of reduced words of length n in Coxeter group on 46 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

Original entry on oeis.org

1, 46, 2070, 92115, 4098600, 182342160, 8112199590, 360902223000, 16056115855560, 714317717862540, 31779155482826400, 1413817266133308960, 62899068010426041240, 2798305588240613272800, 124493325781573753947360

Offset: 0

John Cannon and N. J. A. Sloane, Dec 03 2009

nonn

The initial terms coincide with those of A170765, although the two sequences are eventually different.

Computed with MAGMA using commands similar to those used to compute A154638.

G. C. Greubel, Table of n, a(n) for n = 0..605
Index entries for linear recurrences with constant coefficients, signature (44, 44, -990).

a:=[46,2070,92115];; for n in [4..20] do a[n]:=44*a[n-1]+44*a[n-2] - 990*a[n-3]; od; Concatenation([1], a); # G. C. Greubel, Apr 28 2019

R:=PowerSeriesRing(Integers(), 20); Coefficients(R!((t^3 + 2*t^2+2*t+1)/(990*t^3-44*t^2-44*t+1))); // G. C. Greubel, Oct 24 2018

CoefficientList[Series[(t^3+2*t^2+2*t+1)/(990*t^3-44*t^2-44*t+1), {t, 0, 20}], t] (* G. C. Greubel, Oct 24 2018 *)
coxG[{3, 990, -44}] (* The coxG program is at A169452 *) (* G. C. Greubel, Apr 28 2019 *)

my(t='t+O('t^20)); Vec((t^3+2*t^2+2*t+1)/(990*t^3-44*t^2-44*t+1)) \\ G. C. Greubel, Oct 24 2018

((1+x)*(1-x^3)/(1-45*x+1034*x^3-990*x^4)).series(x, 20).coefficients(x, sparse=False) # G. C. Greubel, Apr 28 2019

G.f.: (t^3 + 2*t^2 + 2*t + 1)/(990*t^3 - 44*t^2 - 44*t + 1).
From G. C. Greubel, Apr 28 2019: (Start)
a(n) = 44*a(n-1) + 44*a(n-2) - 990*a(n-3).
G.f.: (1+x)*(1-x^3)/(1 - 45*x + 1034*x^3 - 990*x^4). (End)

cp's OEIS Frontend

A162851 Number of reduced words of length n in Coxeter group on 37 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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A162858 Number of reduced words of length n in Coxeter group on 38 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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A162871 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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A162877 Number of reduced words of length n in Coxeter group on 40 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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A162878 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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A162879 Number of reduced words of length n in Coxeter group on 42 generators S_i with relations (S_i)^2 = (S_i S_j)^3 = I.

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