id:A076213 - OEIS Search Results

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

+0
2

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, 1 (list; graph; listen)

	OFFSET	`1,1`
	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`
	CROSSREFS	`Sequence in context: A030302 A051023 A030657 this_sequence A010890 A011633 A015254` `Adjacent sequences: A076210 A076211 A076212 this_sequence A076214 A076215 A076216`
	KEYWORD	`nonn`
	AUTHOR	`Benoit Cloitre (benoit7848c(AT)orange.fr), Nov 03 2002`

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Last modified July 26 23:19 EDT 2008. Contains 142293 sequences.

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