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.

A168869 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^20 = I.

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%I A168869 #10 May 07 2019 11:46:24
%S A168869 1,48,2256,106032,4983504,234224688,11008560336,517402335792,
%T A168869 24317909782224,1142941759764528,53718262708932816,
%U A168869 2524758347319842352,118663642324032590544,5577191189229531755568,262127985893787992511696
%N A168869 Number of reduced words of length n in Coxeter group on 48 generators S_i with relations (S_i)^2 = (S_i S_j)^20 = I.
%C A168869 The initial terms coincide with those of A170767, although the two sequences are eventually different.
%C A168869 First disagreement at index 20: a(20) = 2825534003706215294758210734986856, A170767(20) = 2825534003706215294758210734987984. - Klaus Brockhaus, Apr 04 2011
%C A168869 Computed with MAGMA using commands similar to those used to compute A154638.
%H A168869 <a href="/index/Rec#order_20">Index entries for linear recurrences with constant coefficients</a>, signature (46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, 46, -1081).
%F A168869 G.f.: (t^20 + 2*t^19 + 2*t^18 + 2*t^17 + 2*t^16 + 2*t^15 + 2*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)/(1081*t^20 - 46*t^19 - 46*t^18 - 46*t^17 - 46*t^16 - 46*t^15 - 46*t^14 - 46*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 A168869 coxG[{20,1081,-46}] (* The coxG program is at A169452 *) (* _Harvey P. Dale_, May 07 2019 *)
%Y A168869 Cf. A170767 (G.f.: (1+x)/(1-47*x)).
%K A168869 nonn
%O A168869 0,2
%A A168869 _John Cannon_ and _N. J. A. Sloane_, Dec 03 2009