A124564 Row 4 of table A124560; also, the self-convolution 4th power equals A124554, which is row 4 of table A124550.

1, 1, 5, 35, 317, 3634, 52199, 928608, 20282765, 543008771, 17866390922, 725141498506, 36439677332431, 2274854774699772, 176901777097180896, 17172973623970540220, 2084722855480792814909, 316912193519759976734613

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, A124562, A124563, A124565, A124566.

Formula

G.f.: A(x) = Sum_{k>=0} y^k * [R_{4k}(y)]^(4k), where R_n(x) is the g.f. of row n in table A124560.