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

0,3

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..17.

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.

Crossrefs

Cf. A124560 (table); other rows: A124551, A124562, A124563, A124565, A124566.

Sequence in context: A000357 A102147 A051577 * A260952 A349515 A362356

Adjacent sequences: A124561 A124562 A124563 * A124565 A124566 A124567

Keyword

nonn

Author

Paul D. Hanna, Nov 07 2006

Status

approved