cp's OEIS Frontend

A170035 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.

%I A170035 #6 Nov 26 2016 09:44:18
%S A170035 1,26,650,16250,406250,10156250,253906250,6347656250,158691406250,
%T A170035 3967285156250,99182128906250,2479553222656250,61988830566406250,
%U A170035 1549720764160156250,38743019104003906250,968575477600097656250
%N A170035 Number of reduced words of length n in Coxeter group on 26 generators S_i with relations (S_i)^2 = (S_i S_j)^36 = I.
%C A170035 The initial terms coincide with those of A170745, although the two sequences are eventually different.
%C A170035 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170035 <a href="/index/Rec#order_36">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, 24, 24, -300).
%F A170035 G.f. (t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 +
%F A170035 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 +
%F A170035 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 +
%F A170035 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4
%F A170035 + 2*t^3 + 2*t^2 + 2*t + 1)/(300*t^36 - 24*t^35 - 24*t^34 - 24*t^33 -
%F A170035 24*t^32 - 24*t^31 - 24*t^30 - 24*t^29 - 24*t^28 - 24*t^27 - 24*t^26 -
%F A170035 24*t^25 - 24*t^24 - 24*t^23 - 24*t^22 - 24*t^21 - 24*t^20 - 24*t^19 -
%F A170035 24*t^18 - 24*t^17 - 24*t^16 - 24*t^15 - 24*t^14 - 24*t^13 - 24*t^12 -
%F A170035 24*t^11 - 24*t^10 - 24*t^9 - 24*t^8 - 24*t^7 - 24*t^6 - 24*t^5 - 24*t^4
%F A170035 - 24*t^3 - 24*t^2 - 24*t + 1)
%K A170035 nonn
%O A170035 0,2
%A A170035 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009