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.

A167106 Number of reduced words of length n in Coxeter group on 5 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.

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%I A167106 #9 Nov 24 2016 10:42:49
%S A167106 1,5,20,80,320,1280,5120,20480,81920,327680,1310720,5242880,20971520,
%T A167106 83886080,335544310,1342177200,5368708650,21474834000,85899333600,
%U A167106 343597324800,1374389260800,5497556889600,21990226944000,87960905318400
%N A167106 Number of reduced words of length n in Coxeter group on 5 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167106 The initial terms coincide with those of A003947, although the two sequences are eventually different.
%C A167106 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167106 G. C. Greubel, <a href="/A167106/b167106.txt">Table of n, a(n) for n = 0..500</a>
%H A167106 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, -6).
%F A167106 G.f.: (t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1)/(6*t^14 - 3*t^13 - 3*t^12 - 3*t^11 - 3*t^10 - 3*t^9 - 3*t^8 - 3*t^7 - 3*t^6 - 3*t^5 - 3*t^4 - 3*t^3 - 3*t^2 - 3*t + 1).
%t A167106 CoefficientList[Series[(t^14 + 2*t^13 + 2*t^12 + 2*t^11 + 2*t^10 + 2*t^9 + 2*t^8 + 2*t^7 + 2*t^6 + 2*t^5 + 2*t^4 + 2*t^3 + 2*t^2 + 2*t + 1) / (6*t^14 - 3*t^13 - 3*t^12 - 3*t^11 - 3*t^10 - 3*t^9 - 3*t^8 - 3*t^7 - 3*t^6 - 3*t^5 - 3*t^4 - 3*t^3 - 3*t^2 - 3*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 03 2016 *)
%K A167106 nonn
%O A167106 0,2
%A A167106 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009