id:A059448 - OEIS Search Results

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If A_k are the terms from 2^(k-1) through to 2^k-1, then A_(k+1) is B_k A_k where B_k is A_k with 0's and 1's swapped, starting from a(1)=0; also parity of number of zero digits when n is written in binary.

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0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0, 0, 1 (list; graph; listen)

	OFFSET	`1,1`
	COMMENT	`a(0) not given as it could be 1 or 0 depending on the definition or formula used.`
	FORMULA	`a(2n)=1-a(n); a(2n+1)=a(n)=1-a(2n). If 2^k<=n<2^(k+1) then a(n)=1-a(n-2^(k-1)). a(n)=A023416(n) mod 2 =A059009(n)-2n =2n+1-A059010(n) =\|A010060(n)-A030300(n-1)\|.` `Let b(1)=1 and b(n)=b(n-ceil(n/2))-b(n-floor(n/2)) then for n>=1 a(n)=(1/2)*(1-b(2n+1)) - Benoit Cloitre (benoit7848c(AT)orange.fr), Apr 26 2005`
	CROSSREFS	`Characteristic function of A059009.` `Sequence in context: A084091 A080846 A082401 this_sequence A038219 A138710 A116865` `Adjacent sequences: A059445 A059446 A059447 this_sequence A059449 A059450 A059451`
	KEYWORD	`nice,nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Feb 02 2001`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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