id:A076213 - OEIS Search Results

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

+0
4

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; listen)

	OFFSET	`0,1`
	COMMENT	`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 this_sequence A120525 A112299 A071033` `Adjacent sequences: A076210 A076211 A076212 this_sequence 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 (MHasler(AT)univ-ag.fr), Jun 03 2009`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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