A355767 E.g.f. satisfies A(x)^(A(x)^2) = 1/(1 - x*A(x)).

1, 1, 0, 6, -4, 300, -828, 42224, -266992, 11916864, -132472320, 5688511488, -95465876064, 4138883728512, -95019458907072, 4276023328128000, -125481256750340352, 5958015717717504000, -212934915549001078272, 10767675634298110255104

Offset

0,4

Links

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

Formula

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

Prog

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

Crossrefs

Cf. A001761, A141209.

Cf. A355768.

Sequence in context: A334806 A014403 A232818 * A077181 A036481 A021610

Adjacent sequences: A355764 A355765 A355766 * A355768 A355769 A355770

Keyword

sign

Author

Seiichi Manyama, Jul 16 2022

Status

approved