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a(n) equals the coefficient of x^n in f(x)^n where f(x)=1+sum(n>=0,x^(2^n)).
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%I #6 Mar 30 2012 18:36:39

%S 1,1,3,7,23,71,231,743,2431,7999,26563,88683,297551,1002015,3385175,

%T 11466887,38933183,132454719,451423203,1540920939,5267257103,

%U 18027478847,61770328227,211872505243,727411948351,2499560376671

%N a(n) equals the coefficient of x^n in f(x)^n where f(x)=1+sum(n>=0,x^(2^n)).

%F G.f.: A(x) = 1 + x*d/dx[log(g(x))], where g(x)=sum(n>=0, A075864(n)*x^n) and g(x)=f(x*g(x)), given f(x)=1+sum(n>=0, x^(2^n)).

%Y Cf. A075864.

%K nonn

%O 0,3

%A _Paul D. Hanna_, Oct 10 2003