id:A089262 - OEIS Search Results

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2^[log2(n)] - 2^[log2(n*2/3)].

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0, 0, 1, 0, 2, 2, 0, 0, 4, 4, 4, 4, 0, 0, 0, 0, 8, 8, 8, 8, 8, 8, 8, 8, 0, 0, 0, 0, 0, 0, 0, 0, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32, 32 (list; graph; listen)

	OFFSET	`0,5`
	FORMULA	`a(2n) = 2a(n) + [n==1], a(2n+1) = 2a(n).` `G.f. 1/(1-x) * sum(k>=0, 2^k*(t^2-t^3), t=x^2^k).`
	PROGRAM	`(PARI) a(n)=if(n<1, 0, if(n%2==0, 2a(n/2)+(n/2==1), 2a((n-1)/2)))` `(PARI) a(n)=2^floor(log(n)/log(2))-2^floor(log(n*2/3)/log(2))`
	CROSSREFS	`Cf. A053644.` `Sequence in context: A138270 A134315 A119332 this_sequence A069971 A167291 A063865` `Adjacent sequences: A089259 A089260 A089261 this_sequence A089263 A089264 A089265`
	KEYWORD	`nonn,easy`
	AUTHOR	`Ralf Stephan (ralf(AT)ark.in-berlin.de), Oct 30 2003`

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Last modified December 15 00:47 EST 2009. Contains 170825 sequences.

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