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.

A164956 Number of reduced words of length n in Coxeter group on 22 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A164956 #8 Feb 21 2022 13:06:52
%S A164956 1,22,462,9702,203742,4278582,89850222,1886854662,39623947671,
%T A164956 832102896240,17474160719400,366957372972960,7706104787608920,
%U A164956 161828199598499280,3398392171801436040,71366235192722131200
%N A164956 Number of reduced words of length n in Coxeter group on 22 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A164956 The initial terms coincide with those of A170741, although the two sequences are eventually different.
%C A164956 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164956 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (20, 20, 20, 20, 20, 20, 20, -210).
%F A164956 G.f.: (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1) / (210*t^8 - 20*t^7 - 20*t^6 - 20*t^5 - 20*t^4 - 20*t^3 - 20*t^2 - 20*t + 1).
%K A164956 nonn
%O A164956 0,2
%A A164956 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009