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 A076635 Let b(1)=1/n, b(2)=1, b(k+1)=abs(b(k))-b(k-1)^2; then b(k) is >0 for k>a(n). 0
 5, 8, 12, 11, 11, 15, 14, 14, 14, 18, 18, 17, 17, 17, 17, 17, 21, 20, 21, 21, 21, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 20, 24, 24, 24, 24, 25, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 23, 28, 27, 27, 27, 27, 27, 27, 27, 28, 26, 26, 26, 26, 26, 26 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Conjecture : lim k->infinity (b(k)-k)/ln(k) = f(n), constant depending on n. f(n) seems erratic: f(2)=2.9..., f(3)=2.5..., f(4)=3.2..., f(5)=2.25..., f(6)=4.0... LINKS FORMULA a(n) seems to be asymptotic to c*ln(n) with c=5.63... EXAMPLE If n=4, b(11)<0 and b(k)>0 for any k>11 hence a(4)=11. CROSSREFS Sequence in context: A162612 A133522 A133269 * A116602 A079896 A133315 Adjacent sequences:  A076632 A076633 A076634 * A076636 A076637 A076638 KEYWORD nonn AUTHOR Benoit Cloitre, Oct 23 2002 STATUS approved

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Last modified May 22 03:34 EDT 2013. Contains 225511 sequences.