cp's OEIS Frontend

A170115 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^38 = I.

%I A170115 #6 May 14 2017 17:31:07
%S A170115 1,10,90,810,7290,65610,590490,5314410,47829690,430467210,3874204890,
%T A170115 34867844010,313810596090,2824295364810,25418658283290,
%U A170115 228767924549610,2058911320946490,18530201888518410,166771816996665690
%N A170115 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^38 = I.
%C A170115 The initial terms coincide with those of A003952, although the two sequences are eventually different.
%C A170115 Computed with MAGMA using commands similar to those used to compute A154638.
%H A170115 <a href="/index/Rec#order_38">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, 8, 8, 8, -36).
%F A170115 G.f. (t^38 + 2*t^37 + 2*t^36 + 2*t^35 + 2*t^34 + 2*t^33 + 2*t^32 + 2*t^31 +
%F A170115 2*t^30 + 2*t^29 + 2*t^28 + 2*t^27 + 2*t^26 + 2*t^25 + 2*t^24 + 2*t^23 +
%F A170115 2*t^22 + 2*t^21 + 2*t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 +
%F A170115 2*t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 +
%F A170115 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(36*t^38 - 8*t^37 -
%F A170115 8*t^36 - 8*t^35 - 8*t^34 - 8*t^33 - 8*t^32 - 8*t^31 - 8*t^30 - 8*t^29 -
%F A170115 8*t^28 - 8*t^27 - 8*t^26 - 8*t^25 - 8*t^24 - 8*t^23 - 8*t^22 - 8*t^21 -
%F A170115 8*t^20 - 8*t^19 - 8*t^18 - 8*t^17 - 8*t^16 - 8*t^15 - 8*t^14 - 8*t^13 -
%F A170115 8*t^12 - 8*t^11 - 8*t^10 - 8*t^9 - 8*t^8 - 8*t^7 - 8*t^6 - 8*t^5 - 8*t^4
%F A170115 - 8*t^3 - 8*t^2 - 8*t + 1)
%K A170115 nonn
%O A170115 0,2
%A A170115 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009