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.

A167641 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.

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%I A167641 #11 Nov 24 2016 10:55:44
%S A167641 1,44,1892,81356,3498308,150427244,6468371492,278139974156,
%T A167641 11960018888708,514280812214444,22114074925221092,950905221784506956,
%U A167641 40888924536733799108,1758223755079553361644,75603621468420794549746
%N A167641 Number of reduced words of length n in Coxeter group on 44 generators S_i with relations (S_i)^2 = (S_i S_j)^14 = I.
%C A167641 The initial terms coincide with those of A170763, although the two sequences are eventually different.
%C A167641 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167641 G. C. Greubel, <a href="/A167641/b167641.txt">Table of n, a(n) for n = 0..500</a>
%H A167641 <a href="/index/Rec#order_14">Index entries for linear recurrences with constant coefficients</a>, signature (42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, 42, -903).
%F A167641 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)/(903*t^14 - 42*t^13 - 42*t^12 - 42*t^11 - 42*t^10 - 42*t^9 - 42*t^8 - 42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1).
%t A167641 coxG[{14,903,-42}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Feb 08 2015 *)
%t A167641 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)/ (903*t^14 - 42*t^13 - 42*t^12 - 42*t^11 - 42*t^10 - 42*t^9 - 42*t^8 - 42*t^7 - 42*t^6 - 42*t^5 - 42*t^4 - 42*t^3 - 42*t^2 - 42*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 17 2016 *)
%K A167641 nonn
%O A167641 0,2
%A A167641 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009