A056973 - OEIS

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A056973

Number of blocks of {0,0} in the binary expansion of n.

0, 0, 0, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 4, 3, 2, 2, 2, 1, 1, 1, 2, 1, 0, 0, 1, 0, 0, 0, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 5, 4, 3, 3, 3, 2, 2, 2, 3, 2, 1, 1, 2, 1, 1, 1, 3, 2, 1, 1, 1, 0, 0, 0, 2, 1, 0, 0, 1, 0, 0, 0, 4, 3, 2, 2, 2, 1, 1 (list; graph; refs; listen; history; text; internal format)

	OFFSET	`1,8`
	LINKS	`Table of n, a(n) for n=1..102.` `R. Stephan, Some divide-and-conquer sequences ...` `R. Stephan, Table of generating functions` `Eric Weisstein's World of Mathematics, Digit Block.`
	FORMULA	`a(2n) = a(n) + [n is even], a(2n+1) = a(n).` `G.f.: 1/(1-x) * sum(k>=0, t^4/(1+t)/(1+t^2), t=x^2^k). - Ralf Stephan, Sep 10 2003` `a(n) = A023416(n) - A033264(n). - Ralf Stephan, Sep 10 2003`
	CROSSREFS	`Cf. A014081, A033264, A037800.` `Sequence in context: A046660 A183094 A108730 * A107782 A086017 A000161` `Adjacent sequences: A056970 A056971 A056972 * A056974 A056975 A056976`
	KEYWORD	`nonn,base`
	AUTHOR	`Eric W. Weisstein`
	STATUS	`approved`

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Last modified May 25 23:24 EDT 2013. Contains 225649 sequences.