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A324005 Numerator of 120*Stirling_2(n,5)/n!. 3
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
5,2
LINKS
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
KEYWORD
nonn,frac
AUTHOR
N. J. A. Sloane, Feb 15 2019
STATUS
approved

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Last modified March 29 11:45 EDT 2024. Contains 371278 sequences. (Running on oeis4.)