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.

A107283 E.g.f. exp(x)*(x^2+x+2)/(1-x).

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%I A107283 #14 Jan 26 2014 15:37:03
%S A107283 2,5,16,59,254,1297,7820,54791,438394,3945629,39456392,434020435,
%T A107283 5208245366,67707189929,947900659204,14218509888287,227496158212850,
%U A107283 3867434689618741,69613824413137664,1322662663849615979,26453253276992319982,555518318816838720065
%N A107283 E.g.f. exp(x)*(x^2+x+2)/(1-x).
%H A107283 Vincenzo Librandi, <a href="/A107283/b107283.txt">Table of n, a(n) for n = 0..200</a>
%F A107283 Recurrence: (4*n+3)*a(n) = (4*n^2 + 7*n + 20)*a(n-1) - (4*n^2 + 16*n - 11)*a(n-2) + 9*(n-2)*a(n-3). - _Vaclav Kotesovec_, Oct 17 2012
%F A107283 a(n) ~ 4*e*n!. - _Vaclav Kotesovec_, Oct 17 2012
%t A107283 CoefficientList[Series[E^x*(x^2+x+2)/(1-x), {x, 0, 20}], x]* Table[n!, {n, 0, 20}] (* _Vaclav Kotesovec_, Oct 17 2012 *)
%o A107283 (PARI) x='x+O('x^66); Vec(serlaplace(exp(x)*(x^2+x+2)/(1-x))) \\ _Joerg Arndt_, May 15 2013
%Y A107283 Cf. A030297.
%K A107283 easy,nonn
%O A107283 0,1
%A A107283 _Creighton Dement_, May 19 2005