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.

A165175 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.

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%I A165175 #6 Nov 23 2016 18:36:00
%S A165175 1,43,1806,75852,3185784,133802928,5619722976,236028364992,
%T A165175 9913191328761,416354035770036,17486869500749523,734448518964616428,
%U A165175 30846837793705621380,1295567187217688816928,54413821858189144507632
%N A165175 Number of reduced words of length n in Coxeter group on 43 generators S_i with relations (S_i)^2 = (S_i S_j)^8 = I.
%C A165175 The initial terms coincide with those of A170762, although the two sequences are eventually different.
%C A165175 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165175 <a href="/index/Rec#order_08">Index entries for linear recurrences with constant coefficients</a>, signature (41, 41, 41, 41, 41, 41, 41, -861).
%F A165175 G.f. (t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(861*t^8 -
%F A165175 41*t^7 - 41*t^6 - 41*t^5 - 41*t^4 - 41*t^3 - 41*t^2 - 41*t + 1)
%K A165175 nonn
%O A165175 0,2
%A A165175 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009