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

1, 1, 4, 22, 158, 1455, 16918, 244644, 4361883, 95746603, 2592416878, 86825876398, 3607980811184, 186517056299848, 12022039151786966, 967930783674722085, 97490785254375447744, 12299113367136495834881, 1945525636812103772634604

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, A124564, A124565, A124566.

Formula

G.f.: A(x) = Sum_{k>=0} y^k * [R_{3k}(y)]^(3k), where R_n(x) is the g.f. of row n in table A124560.