A377326 - OEIS

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A377326

E.g.f. satisfies A(x) = 1 + (exp(x*A(x)) - 1)/A(x).

5

1, 1, 1, 4, 15, 96, 665, 6028, 60907, 725560, 9591549, 142574004, 2323440119, 41519079616, 803667844993, 16797423268252, 376458083887875, 9014414549836296, 229564623594841637, 6197477089425914692, 176767174407208663759, 5312208220728020517136, 167760328500471584529321

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OFFSET

0,4

LINKS

Table of n, a(n) for n=0..22.

FORMULA

a(n) = Sum_{k=0..floor((n+1)/2)} (n-k)!/(n-2*k+1)! * Stirling2(n,k).

PROG

(PARI) a(n) = sum(k=0, (n+1)\2, (n-k)!/(n-2*k+1)!*stirling(n, k, 2));

CROSSREFS

Cf. A052894, A367162, A367163.

Cf. A367180, A377324.

Sequence in context: A109365 A352415 A079128 * A356524 A289489 A221095

Adjacent sequences: A377323 A377324 A377325 * A377327 A377328 A377329

KEYWORD

nonn

AUTHOR

Seiichi Manyama, Oct 24 2024

STATUS

approved