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.

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A381418 E.g.f. A(x) satisfies A(x) = exp( 2 * sin(x * A(x)) ).

Original entry on oeis.org

1, 2, 12, 126, 1920, 38594, 966336, 29013502, 1016725248, 40756464002, 1840019388416, 92407718510206, 5110719354064896, 308687318601431618, 20219267260662005760, 1427631259848921544702, 108098847179804608299008, 8738141126983786551626498, 751078053821468153074155520
Offset: 0

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Author

Seiichi Manyama, Feb 23 2025

Keywords

Crossrefs

Programs

  • PARI
    a136630(n, k) = 1/(2^k*k!)*sum(j=0, k, (-1)^(k-j)*(2*j-k)^n*binomial(k, j));
    a(n) = 2*sum(k=0, n, (2*n+2)^(k-1)*I^(n-k)*a136630(n, k));

Formula

E.g.f.: B(x)^2, where B(x) is the e.g.f. of A381417.
a(n) = 2 * Sum_{k=0..n} (2*n+2)^(k-1) * i^(n-k) * A136630(n,k), where i is the imaginary unit.
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