id:A055037 - OEIS Search Results

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Number of numbers <= n with an even number of prime factors (counted with multiplicity).

+0
2

1, 1, 1, 2, 2, 3, 3, 3, 4, 5, 5, 5, 5, 6, 7, 8, 8, 8, 8, 8, 9, 10, 10, 11, 12, 13, 13, 13, 13, 13, 13, 13, 14, 15, 16, 17, 17, 18, 19, 20, 20, 20, 20, 20, 20, 21, 21, 21, 22, 22, 23, 23, 23, 24, 25, 26, 27, 28, 28, 29, 29, 30, 30, 31, 32, 32, 32, 32, 33, 33, 33, 33, 33, 34, 34, 34 (list; graph; listen)

	OFFSET	`0,4`
	LINKS	`Eric Weisstein's World of Mathematics, Polya Conjecture`
	FORMULA	`1/2Sum_{k=1..n} (1+lambda(k))= (1/2) (n+L(n)), where lambda(n)=A008836(n) and L(n)=A002819(n).`
	CROSSREFS	`Cf. A001222.` `Sequence in context: A080677 A153112 A005350 this_sequence A125186 A140473 A115384` `Adjacent sequences: A055034 A055035 A055036 this_sequence A055038 A055039 A055040`
	KEYWORD	`nonn`
	AUTHOR	`Antreas P. Hatzipolakis (xpolakis(AT)otenet.gr), Jun 01 2000`
	EXTENSIONS	`Formula and more terms from Vladeta Jovovic (vladeta(AT)eunet.rs), Dec 03 2001`

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Last modified December 17 19:39 EST 2009. Contains 170821 sequences.

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