A394875 G.f. A(x) satisfies A(x) = 1 - x - x^2 - x * d/dx log(1 - x*A(x)).

1, 0, 0, 1, 5, 31, 223, 1821, 16653, 168661, 1874501, 22686159, 297028571, 4183627137, 63081402049, 1013868406081, 17304100943389, 312565238484191, 5957266477778791, 119478422807115517, 2515369704169960125, 55464494642555054085, 1278335344457730098893

Offset

0,5

Links

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

Formula

a(0) = 1, a(1) = a(2) = 0; a(n) = n*a(n-1) + a(n-2) + a(n-3) + Sum_{k=1..n-1} a(k)*a(n-1-k).

Crossrefs

Cf. A003319, A394874, A394876.

Sequence in context: A058309 A226924 A365180 * A192950 A391648 A001910

Adjacent sequences: A394872 A394873 A394874 * A394876 A394877 A394878

Keyword

nonn

Author

Seiichi Manyama, Apr 05 2026

Status

approved