cp's OEIS Frontend

A169575 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169575 #6 Nov 26 2016 09:32:40
%S A169575 1,34,1122,37026,1221858,40321314,1330603362,43909910946,
%T A169575 1449027061218,47817893020194,1577990469666402,52073685498991266,
%U A169575 1718431621466711778,56708243508401488674,1871372035777249126242,61755277180649221165986
%N A169575 Number of reduced words of length n in Coxeter group on 34 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169575 The initial terms coincide with those of A170753, although the two sequences are eventually different.
%C A169575 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169575 <a href="/index/Rec#order_35">Index entries for linear recurrences with constant coefficients</a>, signature (32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, -528).
%F A169575 G.f. (t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A169575 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A169575 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A169575 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3
%F A169575 + 2*t^2 + 2*t + 1)/(528*t^35 - 32*t^34 - 32*t^33 - 32*t^32 - 32*t^31 -
%F A169575 32*t^30 - 32*t^29 - 32*t^28 - 32*t^27 - 32*t^26 - 32*t^25 - 32*t^24 -
%F A169575 32*t^23 - 32*t^22 - 32*t^21 - 32*t^20 - 32*t^19 - 32*t^18 - 32*t^17 -
%F A169575 32*t^16 - 32*t^15 - 32*t^14 - 32*t^13 - 32*t^12 - 32*t^11 - 32*t^10 -
%F A169575 32*t^9 - 32*t^8 - 32*t^7 - 32*t^6 - 32*t^5 - 32*t^4 - 32*t^3 - 32*t^2 -
%F A169575 32*t + 1)
%K A169575 nonn
%O A169575 0,2
%A A169575 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009