A177401 G.f.: A(x) = Sum_{n>=0} x^n*A(x)^(n*2^n/2).

1, 1, 2, 7, 34, 213, 1691, 17351, 239778, 4660097, 130797840, 5327430502, 313215498381, 26403536205316, 3178409779673722, 544770504845384447, 132751289649621460236, 45925488889460251816098

Offset

0,3

Links

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

Example

G.f.: A(x) = 1 + x + 2*x^2 + 7*x^3 + 34*x^4 + 213*x^5 + 1691*x^6 +...
A(x) = 1 + x*A(x) + x^2*A(x)^4 + x^3*A(x)^12 + x^4*A(x)^32 +...

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-1)))); polcoeff(A, n)}

Crossrefs

Cf. A177402, A177403.

Sequence in context: A111539 A337000 A074059 * A171792 A185324 A135882

Adjacent sequences: A177398 A177399 A177400 * A177402 A177403 A177404

Keyword

nonn

Author

Paul D. Hanna, Jun 23 2010

Status

approved