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A230316 G.f. satisfies: A(x) = Sum_{n>=0} x^n * Product_{k=1..n} A(2^k*x). 2
1, 1, 3, 19, 235, 5611, 261387, 24036747, 4393513739, 1601446102795, 1165813783355659, 1696186361756285195, 4933983374364840587531, 28699669301301875112931595, 333847943551999970556459225355, 7766615964534009591489133873762571 (list; graph; refs; listen; history; text; internal format)
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: A295812 A228229 A001929 * A157675 A135754 A118023

Adjacent sequences:  A230313 A230314 A230315 * A230317 A230318 A230319

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Oct 15 2013

STATUS

approved

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Last modified November 12 21:10 EST 2018. Contains 317116 sequences. (Running on oeis4.)