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.

A088220 Coefficient of x^n in g.f.^n is A000172(n).

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%I A088220 #9 Jul 19 2016 10:55:05
%S A088220 1,2,3,4,9,24,75,252,903,3376,13068,51960,211222,874440,3676335,
%T A088220 15660680,67474980,293617248,1288876879,5701688928,25397905302,
%U A088220 113838544880,513117505278,2324638603980,10580591966824,48362627748240
%N A088220 Coefficient of x^n in g.f.^n is A000172(n).
%H A088220 Vaclav Kotesovec, <a href="/A088220/b088220.txt">Table of n, a(n) for n = 0..550</a>
%F A088220 G.f.: x / Series_Reversion( x*exp( Sum_{n>=1} A000172(n)*x^n/n ) ), where A000172(n) is the n-th Franel number. - _Paul D. Hanna_, May 25 2014
%o A088220 (PARI) a(n)=polcoeff(x/serreverse(x*exp(sum(m=1, n+1, sum(k=0, m, binomial(m, k)^3)*x^m/m +x^2*O(x^n)))),n)
%o A088220 for(n=0,30,print1(a(n),", ")) \\ _Paul D. Hanna_, May 25 2014
%Y A088220 Cf. A242903.
%K A088220 nonn
%O A088220 0,2
%A A088220 _Michael Somos_, Sep 24 2003