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.

A165709 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.

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%I A165709 #8 Nov 23 2016 22:19:30
%S A165709 1,49,2352,112896,5419008,260112384,12485394432,599298932736,
%T A165709 28766348771328,1380784741022568,66277667569026816,
%U A165709 3181328043310578840,152703746078777784576,7329779811775093671936,351829430964904976842752
%N A165709 Number of reduced words of length n in Coxeter group on 49 generators S_i with relations (S_i)^2 = (S_i S_j)^9 = I.
%C A165709 The initial terms coincide with those of A170768, although the two sequences are eventually different.
%C A165709 Computed with MAGMA using commands similar to those used to compute A154638.
%H A165709 <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (47, 47, 47, 47, 47, 47, 47, 47, -1128).
%F A165709 G.f. (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 +
%F A165709 1)/(1128*t^9 - 47*t^8 - 47*t^7 - 47*t^6 - 47*t^5 - 47*t^4 - 47*t^3 -
%F A165709 47*t^2 - 47*t + 1)
%t A165709 coxG[{9,1128,-47}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 01 2015 *)
%K A165709 nonn
%O A165709 0,2
%A A165709 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009