cp's OEIS Frontend

A169454 Number of reduced words of length n in Coxeter group on 9 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169454 #6 Nov 26 2016 07:18:18
%S A169454 1,9,72,576,4608,36864,294912,2359296,18874368,150994944,1207959552,
%T A169454 9663676416,77309411328,618475290624,4947802324992,39582418599936,
%U A169454 316659348799488,2533274790395904,20266198323167232,162129586585337856
%N A169454 Number of reduced words of length n in Coxeter group on 9 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169454 The initial terms coincide with those of A003951, although the two sequences are eventually different.
%C A169454 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169454 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, -28).
%F A169454 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 A169454 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 A169454 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 A169454 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 A169454 1)/(28*t^33 - 7*t^32 - 7*t^31 - 7*t^30 - 7*t^29 - 7*t^28 - 7*t^27 -
%F A169454 7*t^26 - 7*t^25 - 7*t^24 - 7*t^23 - 7*t^22 - 7*t^21 - 7*t^20 - 7*t^19 -
%F A169454 7*t^18 - 7*t^17 - 7*t^16 - 7*t^15 - 7*t^14 - 7*t^13 - 7*t^12 - 7*t^11 -
%F A169454 7*t^10 - 7*t^9 - 7*t^8 - 7*t^7 - 7*t^6 - 7*t^5 - 7*t^4 - 7*t^3 - 7*t^2 -
%F A169454 7*t + 1)
%K A169454 nonn
%O A169454 0,2
%A A169454 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009