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A342199 a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k)^5 * a(k-1). 3

%I

%S 1,1,33,519,43111,5068111,840782023,291086377719,139698959369111,

%T 90748115988081551,90809507057803456103,124011515918275951611959,

%U 217278911997171247450862041,509237348184229328050319432621,1567286639251140454692258569881053

%N a(0) = 1; a(n) = Sum_{k=1..n} binomial(n,k)^5 * a(k-1).

%t a[0] = 1; a[n_] := a[n] = Sum[Binomial[n, k]^5 a[k - 1], {k, 1, n}]; Table[a[n], {n, 0, 14}]

%Y Cf. A040027, A061686, A336197, A342196, A342197, A342198.

%K nonn

%O 0,3

%A _Ilya Gutkovskiy_, Mar 04 2021

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Last modified October 20 09:40 EDT 2021. Contains 348100 sequences. (Running on oeis4.)