A394874 G.f. A(x) satisfies A(x) = 1 - x - x * d/dx log(1 - x*A(x)).

1, 0, 1, 4, 21, 131, 946, 7757, 71189, 723028, 8053081, 97621327, 1279719546, 18041502545, 272225619961, 4377714355004, 74748372814565, 1350648054645427, 25749500252705218, 516546936996627613, 10876869179816278341, 239875442639388746348, 5529345948561657087361

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..449

Formula

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

Crossrefs

Cf. A003319, A394875, A394876.

Sequence in context: A090366 A273956 A131965 * A332851 A303563 A284816

Adjacent sequences: A394871 A394872 A394873 * A394875 A394876 A394877

Keyword

nonn

Author

Seiichi Manyama, Apr 05 2026

Status

approved