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%I #9 Aug 06 2020 22:06:33
%S 1,2,3,8,144,32,3024,3024,51840,48384,997920,1419264,174356582400,
%T 209227898880,44834549760,5977939968,3592802304000,4311362764800,
%U 8515157028618240,27248502491578368,61758281746022400000,107047688359772160000,33238307235709255680000,23937052536004608000
%N Denominator of 120*Stirling_2(n,5)/n!.
%H Robert Israel, <a href="/A324006/b324006.txt">Table of n, a(n) for n = 5..454</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=5.
%e 1, 5/2, 10/3, 25/8, 331/144, 45/32, 2243/3024, 1045/3024, 7501/51840, ...
%p seq(denom(120*Stirling2(n,5)/n!),n=5..40); # _Robert Israel_, Aug 06 2020
%Y The sequences of rationals in the Salzer (1944) table are 1/A000142, A002678/A002679, A065974/A065975, A324003/A324004, A324005/A324006.
%K nonn,frac
%O 5,2
%A _N. J. A. Sloane_, Feb 15 2019