A324004 Denominator of 24*Stirling_2(n,4)/n!.

1, 1, 6, 3, 80, 72, 30240, 3024, 1814400, 25920, 2661120, 3991680, 871782912000, 87178291200, 241416806400, 44834549760, 254062448640000, 1077840691200, 170303140572364800, 1548210368839680, 1124000727777607680000, 30879140873011200000, 4103494720457932800000, 33238307235709255680000

Offset

4,3

Links

Winston de Greef, Table of n, a(n) for n = 4..453

H. E. Salzer, Tables of coefficients for differences in terms of the derivatives, Journal of Mathematics and Physics, 23 (1944), 210-212. See Table, row m=4.

Example

1, 2, 13/6, 5/3, 81/80, 37/72, 6821/30240, 265/3024, 55591/1814400, 253/25920, 7613/2661120, ...

Mathematica

A324004[n_]:=Denominator[24StirlingS2[n, 4]/n!]; Array[A324004, 35, 4] (* Paolo Xausa, Nov 17 2023 *)

Prog

(PARI) a(n) = denominator(24*stirling(n, 4, 2)/n!) \\ Winston de Greef, Sep 18 2023

Crossrefs

Cf. A324003.

Sequence in context: A348142 A324673 A367377 * A002610 A100979 A279107

Adjacent sequences: A324001 A324002 A324003 * A324005 A324006 A324007

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 15 2019

Status

approved