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.

A355103 E.g.f. A(x) satisfies A(x) = 1 + 3 * x * A(1 - exp(-x)).

Original entry on oeis.org

1, 3, 18, 135, 1008, 4815, -38826, -1199646, -563904, 519188373, 3420802620, -474196640841, -4490175699792, 845516022777504, 3767994187790868, -2565470448416339190, 31376572722070203168, 11396618210613478642335, -523335368250939507824250
Offset: 0

Views

Author

Seiichi Manyama, Jun 19 2022

Keywords

Crossrefs

Programs

  • PARI
    a_vector(n) = my(v=vector(n+1)); v[1]=1; for(i=1, n, v[i+1]=3*i*sum(j=0, i-1, (-1)^(i-j-1)*stirling(i-1, j, 2)*v[j+1])); v;

Formula

a(0) = 1; a(n) = 3 * n * Sum_{k=0..n-1} (-1)^(n-k-1) * Stirling2(n-1,k) * a(k).
a(n) = 3 * n * A355094(n-1) for n>0.