cp's OEIS Frontend

A169469 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169469 #6 Nov 26 2016 07:22:17
%S A169469 1,24,552,12696,292008,6716184,154472232,3552861336,81715810728,
%T A169469 1879463646744,43227663875112,994236269127576,22867434189934248,
%U A169469 525950986368487704,12096872686475217192,278228071788929995416
%N A169469 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169469 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A169469 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169469 <a href="/index/Rec#order_33">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, -253).
%F A169469 G.f. (t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 +
%F A169469 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 +
%F A169469 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 +
%F A169469 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t +
%F A169469 1)/(253*t^33 - 22*t^32 - 22*t^31 - 22*t^30 - 22*t^29 - 22*t^28 - 22*t^27
%F A169469 - 22*t^26 - 22*t^25 - 22*t^24 - 22*t^23 - 22*t^22 - 22*t^21 - 22*t^20 -
%F A169469 22*t^19 - 22*t^18 - 22*t^17 - 22*t^16 - 22*t^15 - 22*t^14 - 22*t^13 -
%F A169469 22*t^12 - 22*t^11 - 22*t^10 - 22*t^9 - 22*t^8 - 22*t^7 - 22*t^6 - 22*t^5
%F A169469 - 22*t^4 - 22*t^3 - 22*t^2 - 22*t + 1)
%K A169469 nonn
%O A169469 0,2
%A A169469 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009