A177402 - OEIS

A177402

G.f.: A(x) = Sum_{n>=0} x^n*A(x)^(n*2^n).

1, 1, 3, 16, 115, 1036, 11473, 159763, 2936153, 75599736, 2839402692, 157152287254, 12697754033411, 1482540320575706, 248253090345832867, 59396301470163053774, 20245084581749243747193, 9816099872906073782057427

(list; graph; refs; listen; history; text; internal format)

OFFSET

0,3

LINKS

Table of n, a(n) for n=0..17.

EXAMPLE

G.f.: A(x) = 1 + x + 3*x^2 + 16*x^3 + 115*x^4 + 1036*x^5 +...

A(x) = 1 + x*A(x)^2 + x^2*A(x)^8 + x^3*A(x)^24 + x^4*A(x)^64 +...

PROG

(PARI) {a(n)=local(A=1+x); for(m=1, n, A=sum(m=0, 16, x^m*(A+x*O(x^n))^(m*2^m))); polcoeff(A, n)}

CROSSREFS

Cf. A177401, A177403.

Sequence in context: A334786 A159606 A211210 * A036244 A011818 A036248

Adjacent sequences: A177399 A177400 A177401 * A177403 A177404 A177405

KEYWORD

nonn

AUTHOR

Paul D. Hanna, Jun 23 2010

STATUS

approved