A324003 Numerator of 24*Stirling_2(n,4)/n!.

1, 2, 13, 5, 81, 37, 6821, 265, 55591, 253, 7613, 3103, 171798901, 4084337, 2532857, 99599, 113363699, 91901, 2646467723, 4191653, 507872027587, 2234653117, 45720722087, 54895900259, 157820369470879, 41372968083833, 25466356023893

Offset

4,2

Links

Winston de Greef, Table of n, a(n) for n = 4..1667

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

A324003[n_]:=Numerator[24StirlingS2[n, 4]/n!]; Array[A324003, 50, 4] (* Paolo Xausa, Nov 17 2023 *)

Prog

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

Crossrefs

Cf. A324004.

Sequence in context: A238139 A268722 A213828 * A176466 A128155 A211366

Adjacent sequences: A324000 A324001 A324002 * A324004 A324005 A324006

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 15 2019

Status

approved