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.

A164669 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.

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%I A164669 #10 Feb 22 2024 14:37:17
%S A164669 1,33,1056,33792,1081344,34603008,1107296256,35433479664,
%T A164669 1133871332352,36283882095120,1161084209759232,37154694159187968,
%U A164669 1188950195394576384,38046405686244409344,1217484963835596259056,38959518262763894053632
%N A164669 Number of reduced words of length n in Coxeter group on 33 generators S_i with relations (S_i)^2 = (S_i S_j)^7 = I.
%C A164669 The initial terms coincide with those of A170752, although the two sequences are eventually different.
%C A164669 Computed with MAGMA using commands similar to those used to compute A154638.
%H A164669 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (31,31,31,31,31,31,-496).
%F A164669 G.f.: (t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(496*t^7 - 31*t^6 - 31*t^5 - 31*t^4 - 31*t^3 - 31*t^2 - 31*t + 1).
%K A164669 nonn
%O A164669 0,2
%A A164669 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009