A076213 - OEIS

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A076213

2*a(n)-1 = sign(A005132(n+1)-A005132(n)).

1, 1, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 0, 1, 0 (list; graph; refs; listen; history; internal format)

	OFFSET	`0,1`
	COMMENTS	`Characteristic function of A057165 - 1. [M. F. Hasler, Jun 03 2009]`
	LINKS	`Index entries for sequences related to Recaman's sequence`
	FORMULA	`Conjecture: let s(n)=sum(k=1, n, a(k)), then lim n ->infinity s(n)/n = 1/2; for any n, 2s(n)>n; let v(n)=2s(n)-n, then v(n)/ln(n) is bounded and sum(k=1, n, v(k)) is asymptotic to cnln(n) with 1<c<1.5` `a(n) = 1-A160351(n+1) = (A160357(n)+1)/2. [M. F. Hasler, Jun 03 2009]`
	CROSSREFS	`Sequence in context: A060038 A167021 A132350 * A120525 A112299 A014677` `Adjacent sequences: A076210 A076211 A076212 * A076214 A076215 A076216`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 03 2002`
	EXTENSIONS	`Added initial value a(0)=1. - M. F. Hasler (www.univ-ag.fr/~mhasler), Jun 03 2009`

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Last modified February 14 17:41 EST 2012. Contains 205651 sequences.