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Decimal expansion of the Riemann zeta prime modulo function at 9 for primes of the form 4k+3.

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

	OFFSET	`0,5`
	LINKS	`P. Flajolet and I. Vardi, Zeta Function Expansions of Classical Constants, Unpublished manuscript. 1996.` `X. Gourdon and P. Sebah, Some Constants from Number theory.`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(9) = Sum_{r prime=3 mod 4} 1/r^9 = (1/2)Sum_{n=0..inf} mobius(2n+1)log(b((2n+1)9))/(2n+1), where b(x)=(1-2^(-x))*zeta(x)/L(x) and L(x) is the Dirichlet Beta function.`
	EXAMPLE	`0.0000508304721501...`
	CROSSREFS	`Cf. A085991, A085992, A085993, A085994, A085995, A085996, A085997.` `Sequence in context: A011510 A021667 A078119 this_sequence A094886 A143821 A099219` `Adjacent sequences: A085995 A085996 A085997 this_sequence A085999 A086000 A086001`
	KEYWORD	`cons,nonn`
	AUTHOR	`Antonio G. Astudillo (afg_astudillo(AT)lycos.com), Jul 06 2003`

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Last modified December 13 23:45 EST 2009. Contains 170824 sequences.

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