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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A384410 Expansion of Product_{k>=1} 1/(1 - k^5 * x)^((1/2)^(k+1)).

Original entry on oeis.org

1, 541, 51270122, 76788748015146, 669464791102102157065, 21339839181227035325658510557, 1900606380926543510490023912037413624, 396633271551441702901523258702004560154006264, 171270169295129060094464591065561066259566766138488074
Offset: 0

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Author

Seiichi Manyama, May 28 2025

Keywords

Crossrefs

Programs

  • PARI
    a000670(n) = sum(k=0, n, k!*stirling(n, k, 2));
    my(N=10, x='x+O('x^N)); Vec(exp(sum(k=1, N, a000670(5*k)*x^k/k)))

Formula

G.f.: exp(Sum_{k>=1} A000670(5*k) * x^k/k).
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