A230316 G.f. satisfies: A(x) = Sum_{n>=0} x^n * Product_{k=1..n} A(2^k*x).

1, 1, 3, 19, 235, 5611, 261387, 24036747, 4393513739, 1601446102795, 1165813783355659, 1696186361756285195, 4933983374364840587531, 28699669301301875112931595, 333847943551999970556459225355, 7766615964534009591489133873762571

Offset

0,3

Links

Table of n, a(n) for n=0..15.

Example

 G.f.: A(x) = 1 + x + 3*x^2 + 19*x^3 + 235*x^4 + 5611*x^5 + 261387*x^6 + ...
where
A(x) = 1 + x*A(2*x) + x^2*A(2*x)*A(4*x) + x^3*A(2*x)*A(4*x)*A(8*x) + ...

Prog

 (PARI) {a(n, r=1)=local(A=1+x); for(i=1, n, A=1+sum(m=1, n, r^m*x^m*prod(k=1, m, subst(A, x, 2^k*x+x*O(x^n))))); polcoeff(A, n)}
for(n=0, 20, print1(a(n), ", "))

Crossrefs

Cf. A158888, A178089.

Sequence in context: A323875 A001929 A349962 * A157675 A355216 A135754

Adjacent sequences: A230313 A230314 A230315 * A230317 A230318 A230319

Keyword

nonn

Author

Paul D. Hanna, Oct 15 2013

Status

approved