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.

A370800 Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x+x^3)) ).

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%I A370800 #10 Mar 02 2024 10:39:17
%S A370800 1,2,5,14,41,120,337,855,1671,434,-20393,-158032,-885329,-4322580,
%T A370800 -19407365,-81796098,-325964629,-1226861808,-4319079961,-13880383674,
%U A370800 -38282558205,-72411121618,65816173987,1746824677851,12859713835981,73356840199948,369390356474509
%N A370800 Expansion of (1/x) * Series_Reversion( x/(x+1/(1-x+x^3)) ).
%H A370800 <a href="/index/Res#revert">Index entries for reversions of series</a>
%F A370800 a(n) = Sum_{k=0..n} binomial(n,k) * b(k), where g.f. B(x) = Sum_{k>=0} b(k)*x^k satisfies B(x) = (1/x) * Series_Reversion( x*(1-x+x^3) ).
%o A370800 (PARI) my(N=30, x='x+O('x^N)); Vec(serreverse(x/(x+1/(1-x+x^3)))/x)
%Y A370800 Cf. A370799, A370801.
%Y A370800 Cf. A063033.
%K A370800 sign
%O A370800 0,2
%A A370800 _Seiichi Manyama_, Mar 02 2024