id:A123087 - OEIS Search Results

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Sequence of numbers such that a(2*n)+a(n)=n and a(n)is the smallest number such that a(n)>=a(n-1).

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0, 0, 1, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 8, 8, 9, 9, 9, 9, 10, 10, 11, 11, 12, 12, 12, 12, 13, 13, 14, 14, 15, 15, 15, 15, 16, 16, 16, 16, 17, 17, 17, 17, 18, 18, 19, 19, 20, 20, 20, 20, 21, 21, 21, 21, 22, 22, 22, 22, 23, 23, 24, 24, 25, 25, 25, 25, 26 (list; graph; listen)

	OFFSET	`0,7`
	FORMULA	`a(0)=0, a(n)=floor(n/2)-a(floor(n/2)) ; partial sums of A096268 ; a(2n)=A050292(n) ; a(n) is asymptotic to n/3 - Benoit Cloitre (abmt(AT)orange.fr), Sep 30 2006`
	EXAMPLE	`a(20)+a(0)=0----->a(0)=0.` `a(1)>=a(0)-------->a(1)=0.` `a(21)+a(1)=1----->a(2)=1.` `a(3)>=a(2)-------->a(3)=1.` `a(22)+a(2)=2----->a(4)=1.` `a(5)>=a(4)-------->a(5)=1.` `a(23)+a(3)=3----->a(6)=2.` `a(7)>=a(6)-------->a(7)=2.` `a(24)+a(4)=4----->a(8)=3.` `a(9)>=a(8)-------->a(9)=3.` `a(25)+a(5)=5----->a(10)=4.` `a(11)>=a(10)------>a(11)=4.` `a(26)+a(6)=6----->a(12)=4.` `a(13)>=a(12)------>a(13)=4.` `a(27)+a(7)=7----->a(14)=5.`
	PROGRAM	`(PARI) a(n)=if(n<1, 0, floor(n/2)-a(floor(n/2))) - Benoit Cloitre (abmt(AT)orange.fr), Sep 30 2006`
	CROSSREFS	`Sequence in context: A062571 A102515 A066063 this_sequence A071868 A082447 A139789` `Adjacent sequences: A123084 A123085 A123086 this_sequence A123088 A123089 A123090`
	KEYWORD	`nonn`
	AUTHOR	`Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Sep 27 2006`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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