A375992 Expansion of e.g.f. (4 - 3 * exp(x))^(4/3).

1, -4, 0, 16, 112, 976, 11760, 184656, 3566192, 81556176, 2152839920, 64389871696, 2151410517872, 79406805184976, 3208188040810480, 140812644820877136, 6671575179144279152, 339348322285418119376, 18443287953728909235440, 1066619199816333440144976

Offset

0,2

Links

Table of n, a(n) for n=0..19.

Formula

a(n) = Sum_{k=0..n} (Product_{j=0..k-1} (3*j-4)) * Stirling2(n,k).

Prog

(PARI) a(n) = sum(k=0, n, prod(j=0, k-1, 3*j-4)*stirling(n, k, 2));

Crossrefs

Cf. A032033, A346982, A365558, A375949, A375952, A375993.

Cf. A375988.

Sequence in context: A002979 A137279 A343473 * A233807 A302771 A378618

Adjacent sequences: A375989 A375990 A375991 * A375993 A375994 A375995

Keyword

sign,easy

Author

Seiichi Manyama, Sep 05 2024

Status

approved