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

Author

Paul D. Hanna, Nov 07 2006

Keywords

• nonn

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.

Crossrefs

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

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.