id:A061397 - OEIS Search Results

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Characteristic function sequence of primes multiplied componentwise by N, the natural numbers.

+0
10

0, 2, 3, 0, 5, 0, 7, 0, 0, 0, 11, 0, 13, 0, 0, 0, 17, 0, 19, 0, 0, 0, 23, 0, 0, 0, 0, 0, 29, 0, 31, 0, 0, 0, 0, 0, 37, 0, 0, 0, 41, 0, 43, 0, 0, 0, 47, 0, 0, 0, 0, 0, 53, 0, 0, 0, 0, 0, 59, 0, 61, 0, 0, 0, 0, 0, 67, 0, 0, 0, 71, 0, 73, 0, 0, 0, 0, 0, 79, 0, 0, 0, 83, 0, 0, 0, 0, 0, 89, 0, 0, 0, 0, 0 (list; graph; listen)

	OFFSET	`1,2`
	COMMENT	`Frequently, holes in a sequence are filled with zeros. This is a canonical way to do this and applied here to primes(A000040). A pre-scalar product when summation is omitted.` `Equals row sums of triangle A143536 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 23 2008]`
	LINKS	`Eric Weisstein's World of Mathematics, Prime zeta function primezeta(s).`
	FORMULA	`a(n)=A010051(n)*A000027(n)` `Dirichlet generating function: primezeta(s-1). - Franklin T. Adams-Watters, Sep 11 2005.`
	CROSSREFS	`A000027, A000040, A010051.` `A143536 [From Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 23 2008]` `Sequence in context: A102394 A085563 A071375 this_sequence A093438 A047814 A101991` `Adjacent sequences: A061394 A061395 A061396 this_sequence A061398 A061399 A061400`
	KEYWORD	`nonn`
	AUTHOR	`Labos E. (labos(AT)ana.sote.hu), Jun 07 2001`

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.

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