cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A165219 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165219 #6 Nov 23 2016 22:07:35
%S A165219 1,10,90,810,7290,65610,590490,5314410,47829690,430467165,3874204080,
%T A165219 34867833120,313810465680,2824293899520,25418642471280,
%U A165219 228767758621920,2058909615020880,18530184622000320,166771644379316460
%N A165219 Number of reduced words of length n in Coxeter group on 10 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165219 The initial terms coincide with those of A003952, although the two sequences are eventually different.
%C A165219 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165219 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (8, 8, 8, 8, 8, 8, 8, 8, -36).
%F A165219 G.f. (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 A165219 1)/(36*t^9 - 8*t^8 - 8*t^7 - 8*t^6 - 8*t^5 - 8*t^4 - 8*t^3 - 8*t^2 - 8*t
%F A165219 + 1)
%K A165219 nonn
%O A165219 0,2
%A A165219 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009