cp's OEIS Frontend

A169471 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169471 #6 Nov 26 2016 07:22:50
%S A169471 1,26,650,16250,406250,10156250,253906250,6347656250,158691406250,
%T A169471 3967285156250,99182128906250,2479553222656250,61988830566406250,
%U A169471 1549720764160156250,38743019104003906250,968575477600097656250
%N A169471 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169471 The initial terms coincide with those of A170745, although the two sequences are eventually different.
%C A169471 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169471 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, -300).
%F A169471 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 A169471 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 A169471 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 A169471 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 A169471 1)/(300*t^33 - 24*t^32 - 24*t^31 - 24*t^30 - 24*t^29 - 24*t^28 - 24*t^27
%F A169471 - 24*t^26 - 24*t^25 - 24*t^24 - 24*t^23 - 24*t^22 - 24*t^21 - 24*t^20 -
%F A169471 24*t^19 - 24*t^18 - 24*t^17 - 24*t^16 - 24*t^15 - 24*t^14 - 24*t^13 -
%F A169471 24*t^12 - 24*t^11 - 24*t^10 - 24*t^9 - 24*t^8 - 24*t^7 - 24*t^6 - 24*t^5
%F A169471 - 24*t^4 - 24*t^3 - 24*t^2 - 24*t + 1)
%K A169471 nonn
%O A169471 0,2
%A A169471 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009