cp's OEIS Frontend

A169551 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.

%I A169551 #6 Nov 26 2016 09:26:02
%S A169551 1,10,90,810,7290,65610,590490,5314410,47829690,430467210,3874204890,
%T A169551 34867844010,313810596090,2824295364810,25418658283290,
%U A169551 228767924549610,2058911320946490,18530201888518410,166771816996665690
%N A169551 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^35 = I.
%C A169551 The initial terms coincide with those of A003952, although the two sequences are eventually different.
%C A169551 Computed with MAGMA using commands similar to those used to compute A154638.
%H A169551 <a href="/index/Rec#order_35">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, 8, 8, -36).
%F A169551 G.f. (t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 + 2*t^30 + 2*t^29 + 2*t^28 +
%F A169551 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 + 2*t^22 + 2*t^21 + 2*t^20 +
%F A169551 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*t^14 + 2*t^13 + 2*t^12 +
%F A169551 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3
%F A169551 + 2*t^2 + 2*t + 1)/(36*t^35 - 8*t^34 - 8*t^33 - 8*t^32 - 8*t^31 - 8*t^30
%F A169551 - 8*t^29 - 8*t^28 - 8*t^27 - 8*t^26 - 8*t^25 - 8*t^24 - 8*t^23 - 8*t^22
%F A169551 - 8*t^21 - 8*t^20 - 8*t^19 - 8*t^18 - 8*t^17 - 8*t^16 - 8*t^15 - 8*t^14
%F A169551 - 8*t^13 - 8*t^12 - 8*t^11 - 8*t^10 - 8*t^9 - 8*t^8 - 8*t^7 - 8*t^6 -
%F A169551 8*t^5 - 8*t^4 - 8*t^3 - 8*t^2 - 8*t + 1)
%K A169551 nonn
%O A169551 0,2
%A A169551 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009