A324005 - OEIS

%I #10 Apr 04 2023 10:41:24

%S 1,5,10,25,331,45,2243,1045,7501,2669,19301,8923,332514803,113561159,

%T 6527611,220907,31992967,8808901,3810944197,2555998859,1164206867707,

%U 389558724647,22468207750333,2896489667,53110359005960369,10978969028303

%N Numerator of 120*Stirling_2(n,5)/n!.

%H Robert Israel, <a href="/A324005/b324005.txt">Table of n, a(n) for n = 5..1444</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(numer(120*Stirling2(n,5)/n!),n=5..40); # _Robert Israel_, Aug 06 2020

%t Table[(120 StirlingS2[n,5])/n!,{n,5,30}]//Numerator (* _Harvey P. Dale_, Apr 04 2023 *)

%Y Cf. A324006.

%K nonn,frac

%O 5,2

%A _N. J. A. Sloane_, Feb 15 2019