id:A085964 - OEIS Search Results

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Decimal expansion of the prime zeta function at 4.

+0
14

0, 7, 6, 9, 9, 3, 1, 3, 9, 7, 6, 4, 2, 4, 6, 8, 4, 4, 9, 4, 2, 6, 1, 9, 2, 9, 5, 9, 3, 3, 1, 5, 7, 8, 7, 0, 1, 6, 2, 0, 4, 1, 0, 5, 9, 7, 1, 4, 8, 4, 3, 1, 9, 0, 2, 6, 4, 9, 3, 8, 0, 0, 8, 8, 5, 9, 2, 1, 6, 5, 7, 0, 4, 8, 7, 5, 6, 4, 2, 0, 6, 5, 1, 0, 3, 3, 3, 1, 0, 6, 7, 8, 5, 3, 9, 6, 2, 8, 9, 5, 4, 2, 0, 2, 9 (list; cons; graph; listen)

	OFFSET	`0,2`
	LINKS	`H. Cohen, High Precision Computation of Hardy-Littlewood Constants, Preprint.` `X. Gourdon and P. Sebah, Some Constants from Number theory` `Eric Weisstein's World of Mathematics, Prime Zeta Function`
	FORMULA	`P(4) = Sum_{p prime>=2} 1/p^4 = Sum_{n=1..inf} mobius(n)log(zeta(4n))/n`
	EXAMPLE	`0.0769931397642468449426...`
	CROSSREFS	`Cf. A085548, A085541.` `Sequence in context: A011220 A021017 A021569 this_sequence A082121 A078323 A099255` `Adjacent sequences: A085961 A085962 A085963 this_sequence A085965 A085966 A085967`
	KEYWORD	`cons,nonn`
	AUTHOR	`Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`

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Last modified November 21 21:21 EST 2009. Contains 167310 sequences.

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