A324006 Denominator of 120*Stirling_2(n,5)/n!.

1, 2, 3, 8, 144, 32, 3024, 3024, 51840, 48384, 997920, 1419264, 174356582400, 209227898880, 44834549760, 5977939968, 3592802304000, 4311362764800, 8515157028618240, 27248502491578368, 61758281746022400000, 107047688359772160000, 33238307235709255680000, 23937052536004608000

Offset

5,2

Links

Robert Israel, Table of n, a(n) for n = 5..454

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

Crossrefs

The sequences of rationals in the Salzer (1944) table are 1/A000142, A002678/A002679, A065974/A065975, A324003/A324004, A324005/A324006.

Sequence in context: A243954 A005008 A079938 * A112237 A371225 A132502

Adjacent sequences: A324003 A324004 A324005 * A324007 A324008 A324009

Keyword

nonn,frac

Author

N. J. A. Sloane, Feb 15 2019

Status

approved