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

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

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.