A065975 Denominators in expansion of (exp(x)-1)^3.

1, 1, 1, 1, 2, 4, 4, 120, 160, 12096, 20160, 604800, 403200, 456192, 5322240, 217945728000, 581188608000, 139485265920, 232475443200, 13857951744000, 508124897280000, 6192841475358720, 113535427048243200, 187333454629601280000

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..200

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(denom(Stirling2(j, 3)/j!*3!), j=0..23); # Zerinvary Lajos, Mar 30 2007

Mathematica

Denominator[CoefficientList[Series[(Exp[x]-1)^3, {x, 0, 30}], x]] (* Harvey P. Dale, May 19 2014 *)

Crossrefs

Cf. A065974.

Sequence in context: A059052 A292017 A285616 * A089420 A198505 A173163

Adjacent sequences: A065972 A065973 A065974 * A065976 A065977 A065978

Keyword

nonn,frac

Author

N. J. A. Sloane, Dec 09 2001

Status

approved