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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A381107 Expansion of e.g.f. -log(1-x) * (exp(x) - 1) / (1-x).

Original entry on oeis.org

0, 0, 2, 12, 66, 395, 2665, 20307, 173488, 1646745, 17216653, 196730567, 2440331300, 32666847941, 469457190501, 7210003071247, 117862325748960, 2043420738374545, 37453428525580725, 723643767046525111, 14700326905250293556, 313236372986056228013, 6985951253209713959645
Offset: 0

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Author

Seiichi Manyama, Feb 14 2025

Keywords

Crossrefs

Programs

  • PARI
    a(n) = sum(k=0, n-1, binomial(n, k)*abs(stirling(k+1, 2, 1)));

Formula

a(n) = Sum_{k=0..n-1} binomial(n,k) * |Stirling1(k+1,2)|.
a(n) = A073596(n) - A000254(n).
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