cp's OEIS Frontend

A169519 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169519 #6 Nov 26 2016 07:36:47
%S A169519 1,26,650,16250,406250,10156250,253906250,6347656250,158691406250,
%T A169519 3967285156250,99182128906250,2479553222656250,61988830566406250,
%U A169519 1549720764160156250,38743019104003906250,968575477600097656250
%N A169519 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169519 The initial terms coincide with those of A170745, although the two sequences are eventually different.
%C A169519 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169519 <a href="/index/Rec#order_34">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, 24, -300).
%F A169519 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 A169519 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 A169519 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 A169519 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 A169519 2*t + 1)/(300*t^34 - 24*t^33 - 24*t^32 - 24*t^31 - 24*t^30 - 24*t^29 -
%F A169519 24*t^28 - 24*t^27 - 24*t^26 - 24*t^25 - 24*t^24 - 24*t^23 - 24*t^22 -
%F A169519 24*t^21 - 24*t^20 - 24*t^19 - 24*t^18 - 24*t^17 - 24*t^16 - 24*t^15 -
%F A169519 24*t^14 - 24*t^13 - 24*t^12 - 24*t^11 - 24*t^10 - 24*t^9 - 24*t^8 -
%F A169519 24*t^7 - 24*t^6 - 24*t^5 - 24*t^4 - 24*t^3 - 24*t^2 - 24*t + 1)
%K A169519 nonn
%O A169519 0,2
%A A169519 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009