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A177401
G.f.: A(x) = Sum_{n>=0} x^n*A(x)^(n*2^n/2).
2
1, 1, 2, 7, 34, 213, 1691, 17351, 239778, 4660097, 130797840, 5327430502, 313215498381, 26403536205316, 3178409779673722, 544770504845384447, 132751289649621460236, 45925488889460251816098
OFFSET
0,3
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
Sequence in context: A111539 A337000 A074059 * A171792 A185324 A135882
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 23 2010
STATUS
approved