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Decimal expansion of the Riemann zeta prime modulo function at 3 for primes of the form 4k+3.

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7

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

	OFFSET	`0,2`
	LINKS	`P. Flajolet and I. Vardi, Zeta Function Expansions of Classical Constants, Unpublished manuscript. 1996.` `X. Gourdon and P. Sebah, Some Constants from Number theory.`
	FORMULA	`Zeta_R(3) = Sum_{r prime=3 mod 4} 1/r^3 = (1/2)Sum_{n=0..inf} mobius(2n+1)log(b((2n+1)3))/(2n+1), where b(x)=(1-2^(-x))*zeta(x)/L(x) and L(x) is the Dirichlet Beta function.`
	EXAMPLE	`0.0410075565664730...`
	CROSSREFS	`Cf. A085991.` `Sequence in context: A036875 A036877 A049763 this_sequence A117411 A161739 A094924` `Adjacent sequences: A085989 A085990 A085991 this_sequence A085993 A085994 A085995`
	KEYWORD	`cons,nonn`
	AUTHOR	`Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`

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Last modified December 5 17:24 EST 2009. Contains 170342 sequences.

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