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.

A164690 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

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%I A164690 #10 Feb 25 2024 09:09:21
%S A164690 1,45,1980,87120,3833280,168664320,7421230080,326534122530,
%T A164690 14367501347760,632170057385790,27815482440686160,1223881223681492640,
%U A164690 53850773678802946560,2369434034687289546240,104255097210318976508070
%N A164690 Number of reduced words of length n in Coxeter group on 45 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164690 The initial terms coincide with those of A170764, although the two sequences are eventually different.
%C A164690 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164690 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (43, 43, 43, 43, 43, 43, -946).
%F A164690 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(946*t^7 - 43*t^6 - 43*t^5 - 43*t^4 - 43*t^3 - 43*t^2 - 43*t + 1).
%K A164690 nonn
%O A164690 0,2
%A A164690 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009