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

0,3

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..18.

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.

Crossrefs

Cf. A124560 (table); other rows: A124551, A124562, A124564, A124565, A124566.

Sequence in context: A112697 A327994 A113717 * A122704 A087547 A218678

Adjacent sequences: A124560 A124561 A124562 * A124564 A124565 A124566

Keyword

nonn

Author

Paul D. Hanna, Nov 07 2006

Status

approved