A324005 Numerator of 120*Stirling_2(n,5)/n!.

1, 5, 10, 25, 331, 45, 2243, 1045, 7501, 2669, 19301, 8923, 332514803, 113561159, 6527611, 220907, 31992967, 8808901, 3810944197, 2555998859, 1164206867707, 389558724647, 22468207750333, 2896489667, 53110359005960369, 10978969028303

Offset

5,2

Links

Robert Israel, Table of n, a(n) for n = 5..1444

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=5.

Example

1, 5/2, 10/3, 25/8, 331/144, 45/32, 2243/3024, 1045/3024, 7501/51840, ...

Maple

seq(numer(120*Stirling2(n, 5)/n!), n=5..40); # Robert Israel, Aug 06 2020

Mathematica

Table[(120 StirlingS2[n, 5])/n!, {n, 5, 30}]//Numerator (* Harvey P. Dale, Apr 04 2023 *)

Crossrefs

Cf. A324006.

Sequence in context: A038252 A211865 A083010 * A166388 A290055 A066872

Adjacent sequences: A324002 A324003 A324004 * A324006 A324007 A324008

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 15 2019

Status

approved