cp's OEIS Frontend

A170513 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.

%I A170513 #8 Apr 23 2018 16:02:04
%S A170513 1,24,552,12696,292008,6716184,154472232,3552861336,81715810728,
%T A170513 1879463646744,43227663875112,994236269127576,22867434189934248,
%U A170513 525950986368487704,12096872686475217192,278228071788929995416
%N A170513 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^46 = I.
%C A170513 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A170513 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170513 <a href="/index/Rec#order_46">Index entries for linear recurrences with constant coefficients</a>, signature (22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, -253).
%F A170513 G.f. (t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 + 2*t^40 + 2*t^39 +
%F A170513 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170513 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 +
%F A170513 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 +
%F A170513 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 +
%F A170513 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(253*t^46 - 22*t^45 -
%F A170513 22*t^44 - 22*t^43 - 22*t^42 - 22*t^41 - 22*t^40 - 22*t^39 - 22*t^38 -
%F A170513 22*t^37 - 22*t^36 - 22*t^35 - 22*t^34 - 22*t^33 - 22*t^32 - 22*t^31 -
%F A170513 22*t^30 - 22*t^29 - 22*t^28 - 22*t^27 - 22*t^26 - 22*t^25 - 22*t^24 -
%F A170513 22*t^23 - 22*t^22 - 22*t^21 - 22*t^20 - 22*t^19 - 22*t^18 - 22*t^17 -
%F A170513 22*t^16 - 22*t^15 - 22*t^14 - 22*t^13 - 22*t^12 - 22*t^11 - 22*t^10 -
%F A170513 22*t^9 - 22*t^8 - 22*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 - 22*t^2 -
%F A170513 22*t + 1)
%t A170513 coxG[{46,253,-22}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Apr 23 2018 *)
%K A170513 nonn
%O A170513 0,2
%A A170513 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009