A124551 Row 1 of tables A124550 and A124560; also equals the antidiagonal sums of table A124550.

1, 1, 2, 5, 16, 66, 348, 2321, 19437, 203554, 2661035, 43399794, 883165898, 22436796424, 712153021345, 28264751131084, 1403965520612428, 87352867349503436, 6813355443494722779, 666712967112785700169

Offset

0,3

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.

Links

Table of n, a(n) for n=0..19.

Formula

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

Crossrefs

Cf. A124550, A124560; other rows: A124552, A124553, A124554, A124555, A124556.

Sequence in context: A306026 A091139 A084785 * A331157 A005157 A340021

Adjacent sequences: A124548 A124549 A124550 * A124552 A124553 A124554

Keyword

nonn

Author

Paul D. Hanna, Nov 07 2006

Status

approved