A075853 G.f. satisfies A(x) = 1 + x (1+sum_{n=0..inf} [xA(x)]^(2^n)).

1, 1, 1, 2, 3, 6, 13, 27, 59, 131, 295, 684, 1609, 3829, 9203, 22262, 54179, 132565, 325823, 804108, 1991729, 4949794, 12339483, 30851429, 77347913, 194422788, 489892473, 1237207811, 3131186993, 7940340037, 20173254851, 51341234278

Offset

0,4

Links

Table of n, a(n) for n=0..31.

Prog

(PARI) a(n)=local(A, m); if(n<3, n>=0, A=1+x*O(x^n); m=1+ceil(log(n)/log(2)); for(k=1, n, A*=x; A=1+x*sum(i=0, m, A^2^i, 1)); polcoeff(A, n))

Crossrefs

Sequence in context: A030040 A274493 A324770 * A132045 A032143 A032160

Adjacent sequences: A075850 A075851 A075852 * A075854 A075855 A075856

Keyword

nonn

Author

Paul D. Hanna, Oct 15 2002

Extensions

Definition corrected by Michael Somos, Oct 29, 2002

Status

approved