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.

A163174 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.

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%I A163174 #9 Mar 23 2020 06:50:10
%S A163174 1,24,552,12696,291732,6703488,154034496,3539441664,81330144060,
%T A163174 1868823662376,42942280730712,986738081076264,22673505553878564,
%U A163174 520997277758500752,11971601073631152624,275086336118245407888
%N A163174 Number of reduced words of length n in Coxeter group on 24 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.
%C A163174 The initial terms coincide with those of A170743, although the two sequences are eventually different.
%C A163174 Computed with MAGMA using commands similar to those used to compute A154638.
%H A163174 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (22,22,22,-253).
%F A163174 G.f.: (t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(253*t^4 - 22*t^3 - 22*t^2 - 22*t + 1).
%t A163174 CoefficientList[Series[(t^4 + 2 t^3 + 2 t^2 + 2 t + 1)/(253 t^4 - 22 t^3 - 22 t^2 - 22 t + 1), {t, 0, 20}], t] (* _Jinyuan Wang_, Mar 23 2020 *)
%K A163174 nonn
%O A163174 0,2
%A A163174 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009