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.

A164084 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.

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%I A164084 #9 Feb 22 2024 13:33:42
%S A164084 1,39,1482,56316,2140008,81320304,3090170811,117426462660,
%T A164084 4462204511817,169563730817052,6443420227032204,244849909954624416,
%U A164084 9304294348717501380,353563100528072764173,13435394600586229543974
%N A164084 Number of reduced words of length n in Coxeter group on 39 generators S_i with relations (S_i)^2 = (S_i S_j)^6 = I.
%C A164084 The initial terms coincide with those of A170758, although the two sequences are eventually different.
%C A164084 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164084 <a href="/index/Rec#order_06">Index entries for linear recurrences with constant coefficients</a>, signature (37,37,37,37,37,-703).
%F A164084 G.f.: (t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(703*t^6 - 37*t^5 - 37*t^4 - 37*t^3 - 37*t^2 - 37*t + 1).
%K A164084 nonn
%O A164084 0,2
%A A164084 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009