cp's OEIS Frontend

A169481 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169481 #6 Nov 26 2016 07:25:33
%S A169481 1,36,1260,44100,1543500,54022500,1890787500,66177562500,
%T A169481 2316214687500,81067514062500,2837362992187500,99307704726562500,
%U A169481 3475769665429687500,121651938290039062500,4257817840151367187500,149023624405297851562500
%N A169481 Number of reduced words of length n in Coxeter group on 36 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169481 The initial terms coincide with those of A170755, although the two sequences are eventually different.
%C A169481 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169481 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, 34, -595).
%F A169481 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 A169481 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 A169481 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 A169481 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 A169481 1)/(595*t^33 - 34*t^32 - 34*t^31 - 34*t^30 - 34*t^29 - 34*t^28 - 34*t^27
%F A169481 - 34*t^26 - 34*t^25 - 34*t^24 - 34*t^23 - 34*t^22 - 34*t^21 - 34*t^20 -
%F A169481 34*t^19 - 34*t^18 - 34*t^17 - 34*t^16 - 34*t^15 - 34*t^14 - 34*t^13 -
%F A169481 34*t^12 - 34*t^11 - 34*t^10 - 34*t^9 - 34*t^8 - 34*t^7 - 34*t^6 - 34*t^5
%F A169481 - 34*t^4 - 34*t^3 - 34*t^2 - 34*t + 1)
%K A169481 nonn
%O A169481 0,2
%A A169481 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009