A394843 G.f. A(x) satisfies A(x) = 1 / (1 - x/2 * d/dx log(1 + 2*x*A(x))).

1, 1, 1, 2, 7, 33, 192, 1320, 10435, 93095, 924445, 10108918, 120683972, 1561753564, 21775599972, 325439279712, 5189840503083, 87963650342403, 1579050232642011, 29927845491392958, 597206760334172943, 12515432914774600833, 274817039824942195416, 6309743132709667782072

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..450

Formula

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

Crossrefs

Cf. A075834, A394844, A394845, A394846.

Cf. A111529.

Sequence in context: A058797 A121965 A337058 * A006595 A179525 A217033

Adjacent sequences: A394840 A394841 A394842 * A394844 A394845 A394846

Keyword

nonn

Author

Seiichi Manyama, Apr 04 2026

Status

approved