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 A083661 G.f.: 1/(1-x) * sum(k>=0, x^2^(k+2)/(1+x^2^k)). 1
 0, 0, 0, 1, 0, 1, 0, 2, 1, 1, 0, 2, 1, 1, 0, 3, 2, 2, 1, 2, 1, 1, 0, 3, 2, 2, 1, 2, 1, 1, 0, 4, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 0, 4, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1, 1, 0, 5, 4, 4, 3, 4, 3, 3, 2, 4, 3, 3, 2, 3, 2, 2, 1, 4, 3, 3, 2, 3, 2, 2, 1, 3, 2, 2, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,8 LINKS R. Stephan, Some divide-and-conquer sequences ... R. Stephan, Table of generating functions FORMULA a(1)=a(2)=a(3)=0, a(2n) = a(n)+1, a(2n+1) = a(n). a(n) = A080791(n) + A079944(n-2) - 1. PROG (PARI) for(n=1, 120, l=ceil(log(n)/log(2)); t=polcoeff(1/(1-x)*sum(k=0, l, (x^2^(k+2))/(1+x^2^k)) + O(x^(n+1)), n); print1(t", ")) CROSSREFS Cf. A000120, A023416. Sequence in context: A060826 A078134 A282380 * A029369 A255315 A125072 Adjacent sequences:  A083658 A083659 A083660 * A083662 A083663 A083664 KEYWORD nonn,easy AUTHOR Ralf Stephan, Jun 14 2003 STATUS approved

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Last modified February 18 20:25 EST 2019. Contains 320262 sequences. (Running on oeis4.)