id:A089263 - OEIS Search Results

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First differences of A023416.

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0, 0, 1, -1, 2, -1, 0, -1, 3, -1, 0, -1, 1, -1, 0, -1, 4, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1, 0, -1, 5, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1, 0, -1, 3, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1, 0, -1, 6, -1, 0, -1, 1, -1, 0, -1, 2, -1, 0, -1, 1, -1 (list; graph; listen)

	OFFSET	`0,5`
	FORMULA	`a(0)=0, a(2n) = a(n) + 1, a(2n+1) = -1 + [n==0].` `a(n) = A007814(n) + A036987(n-1) - 1.` `G.f.: sum(k>=0, t^2/(1+t), t=x^2^k).`
	PROGRAM	`(PARI) a(n)=valuation(n, 2)+(2^valuation(n, 2)==n)-1` `(PARI) a(n)=if(n<1, 0, if(n%2==0, a(n/2)+1, -1+(((n-1)/2)==0)))`
	CROSSREFS	`Cf. A088705.` `Sequence in context: A052249 A030528 A077227 this_sequence A156135 A047265 A100995` `Adjacent sequences: A089260 A089261 A089262 this_sequence A089264 A089265 A089266`
	KEYWORD	`sign,easy`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 30 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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