cp's OEIS Frontend

A169525 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169525 #6 Nov 26 2016 07:38:36
%S A169525 1,32,992,30752,953312,29552672,916132832,28400117792,880403651552,
%T A169525 27292513198112,846067909141472,26228105183385632,813071260684954592,
%U A169525 25205209081233592352,781361481518241362912,24222205927065482250272
%N A169525 Number of reduced words of length n in Coxeter group on 32 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169525 The initial terms coincide with those of A170751, although the two sequences are eventually different.
%C A169525 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169525 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, 30, -465).
%F A169525 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 A169525 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 A169525 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 A169525 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 A169525 2*t + 1)/(465*t^34 - 30*t^33 - 30*t^32 - 30*t^31 - 30*t^30 - 30*t^29 -
%F A169525 30*t^28 - 30*t^27 - 30*t^26 - 30*t^25 - 30*t^24 - 30*t^23 - 30*t^22 -
%F A169525 30*t^21 - 30*t^20 - 30*t^19 - 30*t^18 - 30*t^17 - 30*t^16 - 30*t^15 -
%F A169525 30*t^14 - 30*t^13 - 30*t^12 - 30*t^11 - 30*t^10 - 30*t^9 - 30*t^8 -
%F A169525 30*t^7 - 30*t^6 - 30*t^5 - 30*t^4 - 30*t^3 - 30*t^2 - 30*t + 1)
%K A169525 nonn
%O A169525 0,2
%A A169525 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009