A065974 Numerators in expansion of (exp(x)-1)^3.

0, 0, 0, 1, 3, 5, 3, 43, 23, 605, 311, 2591, 437, 115, 289, 2375101, 1190281, 50489, 14039, 132227, 727577, 1267159, 3168533, 682014587, 113679229, 62065051, 155168773, 1270865805301, 635444087461, 1434247999, 1769737, 43127143823

Offset

0,5

References

G. E. Andrews, R. Askey and R. Roy, Special Functions, Cambridge, 1999; Problem 46, p. 56.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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=3.

Maple

seq(numer(Stirling2(j, 3)/j!*3!), j=0..31); # Zerinvary Lajos, Mar 30 2007

Mathematica

Numerator[CoefficientList[Series[(Exp[x]-1)^3, {x, 0, 40}], x]] (* Harvey P. Dale, Mar 24 2012 *)

Crossrefs

Cf. A065975.

Sequence in context: A249908 A195418 A366857 * A096822 A195383 A303069

Adjacent sequences: A065971 A065972 A065973 * A065975 A065976 A065977

Keyword

nonn,frac

Author

N. J. A. Sloane, Dec 09 2001

Status

approved