A394845 G.f. A(x) satisfies A(x) = 1 / (1 - x/4 * d/dx log(1 + 4*x*A(x))).

1, 1, -1, -2, 1, 5, 12, 48, 245, 1523, 11195, 94386, 895924, 9443452, 109355276, 1379316576, 18815818845, 275948260895, 4328795250501, 72315318795090, 1281585812804169, 24013020062918277, 474262523193016548, 9846736220736305136, 214393809037175108556

Offset

0,4

Links

Seiichi Manyama, Table of n, a(n) for n = 0..452

Formula

a(0) = 1; a(n) = 4*a(n-1) + (n-7)/2 * Sum_{k=0..n-1} a(k) * a(n-1-k).

Crossrefs

Cf. A075834, A394843, A394844, A394846.

Cf. A111531.

Sequence in context: A307258 A380533 A174317 * A144237 A350742 A268295

Adjacent sequences: A394842 A394843 A394844 * A394846 A394847 A394848

Keyword

sign

Author

Seiichi Manyama, Apr 04 2026

Status

approved