A356885 E.g.f. satisfies A(x)^(A(x)^2) = 1/(1 - x*A(x))^x.

1, 0, 2, 3, -4, 30, 954, 6300, 6432, 424872, 18273960, 260682840, 1754408424, 47063118960, 2314149100704, 54798086299320, 773632032345600, 20746972036284480, 1072205580591921600, 36098491880448944640, 816375193722964932480, 25160238159364392336000

Offset

0,3

Links

Table of n, a(n) for n=0..21.

Formula

a(n) = n! * Sum_{k=0..floor(n/2)} (n-3*k+1)^(k-1) * |Stirling1(n-k,k)|/(n-k)!.

Prog

(PARI) a(n) = n!*sum(k=0, n\2, (n-3*k+1)^(k-1)*abs(stirling(n-k, k, 1))/(n-k)!);

Crossrefs

Cf. A184949, A349559, A356786, A356787, A356884.

Cf. A355767.

Sequence in context: A356905 A064889 A351999 * A057917 A250189 A255253

Adjacent sequences: A356882 A356883 A356884 * A356886 A356887 A356888

Keyword

sign

Author

Seiichi Manyama, Sep 02 2022

Status

approved