A195068 G.f. satisfies: A(x) = Sum{n>=0} x^n * A(n*x)^n.

1, 1, 2, 7, 37, 279, 2919, 42011, 833314, 22937285, 882905932, 47833330376, 3664667588132, 398332024544864, 61567508987316736, 13553812089298857340, 4254977588443309549759, 1906584878492298737985244, 1220249817955981418494900097

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Example

 G.f.: A(x) = 1 + x + 2*x^2 + 7*x^3 + 37*x^4 + 279*x^5 + 2919*x^6 +...
where:
A(x) = 1 + x*A(x) + x^2*A(2*x)^2 + x^3*A(3*x)^3 + x^4*A(4*x)^4 + x^5*A(5*x)^5 +...

Prog

 (PARI) {a(n)=local(A=1+x+x*O(x^n)); for(k=1, n, A=1+sum(j=1, n, x^j*subst(A, x, j*x)^j)); polcoeff(A, n)}

Crossrefs

Sequence in context: A116481 A367494 A102743 * A342412 A196916 A182331

Adjacent sequences: A195065 A195066 A195067 * A195069 A195070 A195071

Keyword

nonn

Author

Paul D. Hanna, Sep 08 2011

Status

approved