A124553 Row 3 of table A124550; also equals the self-convolution cube of A124563, which is row 3 of table A124560.

1, 3, 15, 91, 666, 5955, 65794, 901881, 15346419, 324465907, 8535776700, 279761994750, 11438401220798, 584130591952902, 37300812251856828, 2981666324471342976, 298639111371493692105, 37510558656296021069859

Offset: 0

Author

Paul D. Hanna, Nov 07 2006

Keywords

• nonn

Comments

In table A124550, the g.f. of row n, R_n(y), simultaneously satisfies: R_n(y) = [ Sum_{k>=0} y^k * R_{n*k}(y) ]^n for n>=0.

Crossrefs

Cf. A124550; other rows: A124551, A124552, A124554, A124555, A124556.

Formula

G.f.: A(x) = [ Sum_{k>=0} y^k * R_{3k}(y) ]^3, where R_n(x) is the g.f. of row n in table A124550.