cp's OEIS Frontend

A169517 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.

%I A169517 #6 Nov 26 2016 07:36:15
%S A169517 1,24,552,12696,292008,6716184,154472232,3552861336,81715810728,
%T A169517 1879463646744,43227663875112,994236269127576,22867434189934248,
%U A169517 525950986368487704,12096872686475217192,278228071788929995416
%N A169517 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^34 = I.
%C A169517 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A169517 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169517 <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, signature (22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, 22, -253).
%F A169517 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 A169517 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 A169517 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 A169517 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 A169517 2*t + 1)/(253*t^34 - 22*t^33 - 22*t^32 - 22*t^31 - 22*t^30 - 22*t^29 -
%F A169517 22*t^28 - 22*t^27 - 22*t^26 - 22*t^25 - 22*t^24 - 22*t^23 - 22*t^22 -
%F A169517 22*t^21 - 22*t^20 - 22*t^19 - 22*t^18 - 22*t^17 - 22*t^16 - 22*t^15 -
%F A169517 22*t^14 - 22*t^13 - 22*t^12 - 22*t^11 - 22*t^10 - 22*t^9 - 22*t^8 -
%F A169517 22*t^7 - 22*t^6 - 22*t^5 - 22*t^4 - 22*t^3 - 22*t^2 - 22*t + 1)
%K A169517 nonn
%O A169517 0,2
%A A169517 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009