A394847 G.f. A(x) satisfies A(x) = 1 / (1 + x/2 * d/dx log(1 - 2*x*A(x))).

1, 1, 5, 34, 283, 2729, 29544, 352104, 4559687, 63573407, 947909441, 15037580982, 252782021044, 4487786298844, 83912052363380, 1648445429802720, 33951169908341967, 731690301608252315, 16471202941397846823, 386668709172261717342, 9451628348167374521091

Offset

0,3

Links

Seiichi Manyama, Table of n, a(n) for n = 0..446

Formula

a(0) = 1; a(n) = -2*a(n-1) + (n+5)/2 * Sum_{k=0..n-1} a(k) * a(n-1-k).

Crossrefs

Cf. A158884, A394848.

Sequence in context: A090367 A189488 A111557 * A211794 A289147 A284864

Adjacent sequences: A394844 A394845 A394846 * A394848 A394849 A394850

Keyword

nonn

Author

Seiichi Manyama, Apr 04 2026

Status

approved