A356788 E.g.f. satisfies log(A(x)) = x * (exp(x*A(x)) - 1) * A(x)^2.

1, 0, 2, 3, 88, 485, 13896, 158767, 4919664, 90698841, 3130084360, 81025744811, 3144372342552, 104942286748741, 4582896912897408, 186591555463556895, 9135453970592830816, 437146665470130792497, 23852990622867670807704, 1307029600226135900982835

Offset

0,3

Links

Table of n, a(n) for n=0..19.

Formula

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

Prog

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

Crossrefs

Cf. A349560, A356785, A356789.

Cf. A355762.

Sequence in context: A103013 A246121 A356798 * A224934 A299691 A042901

Adjacent sequences: A356785 A356786 A356787 * A356789 A356790 A356791

Keyword

nonn

Author

Seiichi Manyama, Aug 27 2022

Status

approved