cp's OEIS Frontend

A169474 Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169474 #6 Nov 26 2016 07:23:37
%S A169474 1,29,812,22736,636608,17825024,499100672,13974818816,391294926848,
%T A169474 10956257951744,306775222648832,8589706234167296,240511774556684288,
%U A169474 6734329687587160064,188561231252440481792,5279714475068333490176
%N A169474 Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169474 The initial terms coincide with those of A170748, although the two sequences are eventually different.
%C A169474 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169474 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, 27, -378).
%F A169474 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 A169474 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 A169474 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 A169474 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 A169474 1)/(378*t^33 - 27*t^32 - 27*t^31 - 27*t^30 - 27*t^29 - 27*t^28 - 27*t^27
%F A169474 - 27*t^26 - 27*t^25 - 27*t^24 - 27*t^23 - 27*t^22 - 27*t^21 - 27*t^20 -
%F A169474 27*t^19 - 27*t^18 - 27*t^17 - 27*t^16 - 27*t^15 - 27*t^14 - 27*t^13 -
%F A169474 27*t^12 - 27*t^11 - 27*t^10 - 27*t^9 - 27*t^8 - 27*t^7 - 27*t^6 - 27*t^5
%F A169474 - 27*t^4 - 27*t^3 - 27*t^2 - 27*t + 1)
%K A169474 nonn
%O A169474 0,2
%A A169474 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009