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.

A167101 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.

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%I A167101 #12 Sep 12 2022 19:11:15
%S A167101 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A167101 24317909782224,1142941759764528,53718262708932816,
%U A167101 2524758347319842352,118663642324032590544,5577191189229531754440,262127985893787992405664
%N A167101 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^13 = I.
%C A167101 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A167101 Computed with MAGMA using commands similar to those used to compute A154638.
%H A167101 G. C. Greubel, <a href="/A167101/b167101.txt">Table of n, a(n) for n = 0..500</a>
%H A167101 <a href="/index/Rec#order_13">Index entries for linear recurrences with constant coefficients</a>, signature (46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A167101 G.f.: (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)/(1081*t^13 - 46*t^12 - 46*t^11 - 46*t^10 - 46*t^9 - 46*t^8 - 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1).
%t A167101 CoefficientList[Series[(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)/(1081*t^13 - 46*t^12 - 46*t^11 - 46*t^10 - 46*t^9 - 46*t^8 - 46*t^7 - 46*t^6 - 46*t^5 - 46*t^4 - 46*t^3 - 46*t^2 - 46*t + 1), {t, 0, 50}], t] (* _G. C. Greubel_, Jun 02 2016 *)
%t A167101 coxG[{13,1081,-46}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, Sep 12 2022 *)
%K A167101 nonn
%O A167101 0,2
%A A167101 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009