cp's OEIS Frontend

A169455 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.

%I A169455 #6 Nov 26 2016 07:18:34
%S A169455 1,10,90,810,7290,65610,590490,5314410,47829690,430467210,3874204890,
%T A169455 34867844010,313810596090,2824295364810,25418658283290,
%U A169455 228767924549610,2058911320946490,18530201888518410,166771816996665690
%N A169455 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^33 = I.
%C A169455 The initial terms coincide with those of A003952, although the two sequences are eventually different.
%C A169455 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169455 <a href="/index/Rec#order_33">Index entries for linear recurrences with constant coefficients</a>, signature (8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, -36).
%F A169455 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 A169455 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 A169455 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 A169455 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 A169455 1)/(36*t^33 - 8*t^32 - 8*t^31 - 8*t^30 - 8*t^29 - 8*t^28 - 8*t^27 -
%F A169455 8*t^26 - 8*t^25 - 8*t^24 - 8*t^23 - 8*t^22 - 8*t^21 - 8*t^20 - 8*t^19 -
%F A169455 8*t^18 - 8*t^17 - 8*t^16 - 8*t^15 - 8*t^14 - 8*t^13 - 8*t^12 - 8*t^11 -
%F A169455 8*t^10 - 8*t^9 - 8*t^8 - 8*t^7 - 8*t^6 - 8*t^5 - 8*t^4 - 8*t^3 - 8*t^2 -
%F A169455 8*t + 1)
%K A169455 nonn
%O A169455 0,2
%A A169455 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009