A375989 Expansion of e.g.f. (1 + 3 * log(1 - x))^(5/3).

1, -5, 5, 30, 180, 1410, 14790, 203880, 3559560, 75659760, 1893764160, 54430097760, 1763357958000, 63501756552720, 2514747808468080, 108572621062573440, 5074353268651935360, 255201626973301102080, 13740802156877800538880, 788580746923723472839680

Offset: 0

Author

Seiichi Manyama, Sep 05 2024

Keywords

• sign
• easy

Crossrefs

Cf. A354263, A365575, A375946, A375951, A375988.

Programs

PARI

a(n) = sum(k=0, n, prod(j=0, k-1, 3*j-5)*abs(stirling(n, k, 1)));

Formula

a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (3*j-5)) * |Stirling1(n,k)|.