A124562 Row 2 of table A124560; also, the self-convolution square equals A124552, which is row 2 of table A124550.

1, 1, 3, 12, 63, 429, 3716, 40272, 541655, 9022405, 186233087, 4771577072, 152050410552, 6037181967007, 299176055730253, 18530408350215038, 1436276193993882859, 139462485162718679221, 16980510121067921518710

Offset

0,3

Comments

In table A124560, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = Sum_{k>=0} y^k * [R_{n*k}(y)]^(n*k) for n>=0.

Links

Table of n, a(n) for n=0..18.

Formula

G.f.: A(x) = Sum_{k>=0} y^k * [R_{2k}(y)]^(2k), where R_n(x) is the g.f. of row n in table A124560.

Crossrefs

Cf. A124560 (table); other rows: A124551, A124563, A124564, A124565, A124566.

Sequence in context: A351778 A135889 A369746 * A172450 A276743 A203508

Adjacent sequences: A124559 A124560 A124561 * A124563 A124564 A124565

Keyword

nonn

Author

Paul D. Hanna, Nov 07 2006

Status

approved