cp's OEIS Frontend

A169522 Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169522 #6 Nov 26 2016 07:37:42
%S A169522 1,29,812,22736,636608,17825024,499100672,13974818816,391294926848,
%T A169522 10956257951744,306775222648832,8589706234167296,240511774556684288,
%U A169522 6734329687587160064,188561231252440481792,5279714475068333490176
%N A169522 Number of reduced words of length n in Coxeter group on 29 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169522 The initial terms coincide with those of A170748, although the two sequences are eventually different.
%C A169522 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169522 <a href="/index/Rec#order_34">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, 27, -378).
%F A169522 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 A169522 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 A169522 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 A169522 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 A169522 2*t + 1)/(378*t^34 - 27*t^33 - 27*t^32 - 27*t^31 - 27*t^30 - 27*t^29 -
%F A169522 27*t^28 - 27*t^27 - 27*t^26 - 27*t^25 - 27*t^24 - 27*t^23 - 27*t^22 -
%F A169522 27*t^21 - 27*t^20 - 27*t^19 - 27*t^18 - 27*t^17 - 27*t^16 - 27*t^15 -
%F A169522 27*t^14 - 27*t^13 - 27*t^12 - 27*t^11 - 27*t^10 - 27*t^9 - 27*t^8 -
%F A169522 27*t^7 - 27*t^6 - 27*t^5 - 27*t^4 - 27*t^3 - 27*t^2 - 27*t + 1)
%K A169522 nonn
%O A169522 0,2
%A A169522 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009