cp's OEIS Frontend

A170618 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.

%I A170618 #8 Dec 10 2016 12:57:35
%S A170618 1,33,1056,33792,1081344,34603008,1107296256,35433480192,
%T A170618 1133871366144,36283883716608,1161084278931456,37154696925806592,
%U A170618 1188950301625810944,38046409652025950208,1217485108864830406656,38959523483674573012992
%N A170618 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^48 = I.
%C A170618 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A170618 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170618 <a href="/index/Rec#order_48">Index entries for linear recurrences with constant coefficients</a>, signature (31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, 31, -496).
%F A170618 G.f. (t^48 + 2*t^47 + 2*t^46 + 2*t^45 + 2*t^44 + 2*t^43 + 2*t^42 + 2*t^41 +
%F A170618 2*t^40 + 2*t^39 + 2*t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 +
%F A170618 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 +
%F A170618 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 +
%F A170618 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 +
%F A170618 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A170618 1)/(496*t^48 - 31*t^47 - 31*t^46 - 31*t^45 - 31*t^44 - 31*t^43 - 31*t^42
%F A170618 - 31*t^41 - 31*t^40 - 31*t^39 - 31*t^38 - 31*t^37 - 31*t^36 - 31*t^35 -
%F A170618 31*t^34 - 31*t^33 - 31*t^32 - 31*t^31 - 31*t^30 - 31*t^29 - 31*t^28 -
%F A170618 31*t^27 - 31*t^26 - 31*t^25 - 31*t^24 - 31*t^23 - 31*t^22 - 31*t^21 -
%F A170618 31*t^20 - 31*t^19 - 31*t^18 - 31*t^17 - 31*t^16 - 31*t^15 - 31*t^14 -
%F A170618 31*t^13 - 31*t^12 - 31*t^11 - 31*t^10 - 31*t^9 - 31*t^8 - 31*t^7 -
%F A170618 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1)
%t A170618 coxG[{48,496,-31}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Dec 10 2016 *)
%K A170618 nonn
%O A170618 0,2
%A A170618 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009