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A316746 Stirling transform of (n!)^4. 1

%I #10 Jul 12 2018 07:04:18

%S 1,1,17,1345,339665,210710401,271870642577,650913939232705,

%T 2661046752028004945,17435564825332632384001,

%U 174183504568184377604440337,2548324287404285657814061145665,52811730527246707443094397271926225,1507674139289925506595856944935243164801

%N Stirling transform of (n!)^4.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/StirlingTransform.html">Stirling Transform</a>.

%F a(n) = Sum_{k=0..n} stirling2(n,k) * (k!)^4.

%F a(n) ~ n!^4.

%t Table[Sum[StirlingS2[n, k]*k!^4, {k, 0, n}], {n, 0, 20}]

%Y Cf. A000670, A064618, A263158.

%K nonn

%O 0,3

%A _Vaclav Kotesovec_, Jul 12 2018

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Last modified April 25 04:42 EDT 2024. Contains 371964 sequences. (Running on oeis4.)