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Numerators in expansion of (exp(x)-1)^3.
4

%I #17 Feb 14 2019 23:12:33

%S 0,0,0,1,3,5,3,43,23,605,311,2591,437,115,289,2375101,1190281,50489,

%T 14039,132227,727577,1267159,3168533,682014587,113679229,62065051,

%U 155168773,1270865805301,635444087461,1434247999,1769737,43127143823

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

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

%H Vincenzo Librandi, <a href="/A065974/b065974.txt">Table of n, a(n) for n = 0..1000</a>

%H H. E. Salzer, <a href="https://doi.org/10.1002/sapm1944231210">Tables of coefficients for differences in terms of the derivatives</a>, Journal of Mathematics and Physics, 23 (1944), 210-212. See Table, row m=3.

%p seq(numer(Stirling2(j, 3)/j!*3!), j=0..31); # _Zerinvary Lajos_, Mar 30 2007

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

%Y Cf. A065975.

%K nonn,frac

%O 0,5

%A _N. J. A. Sloane_, Dec 09 2001