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.

A163093 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.

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%I A163093 #9 Mar 23 2020 06:48:19
%S A163093 1,17,272,4352,69496,1109760,17721480,282988800,4518961080,
%T A163093 72161899200,1152331158600,18401221627200,293843444945400,
%U A163093 4692295538064000,74929823330517000,1196531288107632000,19107039891249747000,305114439575750760000,4872278582526960045000
%N A163093 Number of reduced words of length n in Coxeter group on 17 generators S_i with relations (S_i)^2 = (S_i S_j)^4 = I.
%C A163093 The initial terms coincide with those of A170736, although the two sequences are eventually different.
%C A163093 Computed with MAGMA using commands similar to those used to compute A154638.
%H A163093 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (15,15,15,-120).
%F A163093 G.f.: (t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(120*t^4 - 15*t^3 - 15*t^2 - 15*t + 1).
%t A163093 CoefficientList[Series[(t^4 + 2 t^3 + 2 t^2 + 2 t + 1)/(120 t^4 - 15 t^3 - 15 t^2 - 15 t + 1), {t, 0, 20}], t] (* _Jinyuan Wang_, Mar 23 2020 *)
%K A163093 nonn
%O A163093 0,2
%A A163093 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009
%E A163093 More terms from _Jinyuan Wang_, Mar 23 2020