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A324003 Numerator of 24*Stirling_2(n,4)/n!. 4

%I #14 Nov 17 2023 07:33:12

%S 1,2,13,5,81,37,6821,265,55591,253,7613,3103,171798901,4084337,

%T 2532857,99599,113363699,91901,2646467723,4191653,507872027587,

%U 2234653117,45720722087,54895900259,157820369470879,41372968083833,25466356023893

%N Numerator of 24*Stirling_2(n,4)/n!.

%H Winston de Greef, <a href="/A324003/b324003.txt">Table of n, a(n) for n = 4..1667</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=4.

%e 1, 2, 13/6, 5/3, 81/80, 37/72, 6821/30240, 265/3024, 55591/1814400, 253/25920, 7613/2661120, ...

%t A324003[n_]:=Numerator[24StirlingS2[n,4]/n!];Array[A324003,50,4] (* _Paolo Xausa_, Nov 17 2023 *)

%o (PARI) a(n) = numerator(24*stirling(n,4, 2)/n!) \\ _Winston de Greef_, Sep 18 2023

%Y Cf. A324004.

%K nonn,frac

%O 4,2

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

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Last modified April 25 05:18 EDT 2024. Contains 371964 sequences. (Running on oeis4.)