cp's OEIS Frontend

A169534 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169534 #6 Nov 26 2016 07:40:57
%S A169534 1,41,1640,65600,2624000,104960000,4198400000,167936000000,
%T A169534 6717440000000,268697600000000,10747904000000000,429916160000000000,
%U A169534 17196646400000000000,687865856000000000000,27514634240000000000000
%N A169534 Number of reduced words of length n in Coxeter group on 41 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169534 The initial terms coincide with those of A170760, although the two sequences are eventually different.
%C A169534 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169534 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, 39, -780).
%F A169534 G.f. (t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 +
%F A169534 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 +
%F A169534 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 +
%F A169534 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 +
%F A169534 2*t + 1)/(780*t^34 - 39*t^33 - 39*t^32 - 39*t^31 - 39*t^30 - 39*t^29 -
%F A169534 39*t^28 - 39*t^27 - 39*t^26 - 39*t^25 - 39*t^24 - 39*t^23 - 39*t^22 -
%F A169534 39*t^21 - 39*t^20 - 39*t^19 - 39*t^18 - 39*t^17 - 39*t^16 - 39*t^15 -
%F A169534 39*t^14 - 39*t^13 - 39*t^12 - 39*t^11 - 39*t^10 - 39*t^9 - 39*t^8 -
%F A169534 39*t^7 - 39*t^6 - 39*t^5 - 39*t^4 - 39*t^3 - 39*t^2 - 39*t + 1)
%K A169534 nonn
%O A169534 0,2
%A A169534 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009