A394876 - OEIS

A394876

G.f. A(x) satisfies A(x) = 1 - x - x^2 - x^3 - x * d/dx log(1 - x*A(x)).

1, 0, 0, 0, 1, 6, 43, 351, 3209, 32491, 361016, 4368365, 57186679, 805387857, 12142867591, 195154335456, 3330647260745, 60159984231791, 1146580779523543, 22995346684000711, 484113048702225656, 10674700552933908387, 246026565328130492115, 5915823005980692595839

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OFFSET

0,6

LINKS

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

FORMULA

a(0) = 1, a(1) = a(2) = a(3) = 0; a(n) = n*a(n-1) + a(n-2) + a(n-3) + a(n-4) + Sum_{k=1..n-1} a(k)*a(n-1-k).

CROSSREFS

Cf. A003319, A394874, A394875.

Sequence in context: A071541 A390412 A146966 * A240653 A220097 A090010

Adjacent sequences: A394872 A394874 A394875 * A394877 A394878 A394879

KEYWORD

nonn,new

AUTHOR

Seiichi Manyama, Apr 05 2026

STATUS

approved