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Decimal expansion of the infinite product of zeta functions for even arguments.

+0
2

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

	OFFSET	`1,2`
	LINKS	`Eric Weisstein's World of Mathematics, Abelian group.`
	FORMULA	`Decimal expansion of zeta(2)zeta(4)...zeta(2k)...` `If u(k) denotes the number of Abelian groups with group order k, then prod(k>=1, zeta(2*k))=sum(k>=1, u(k)/k^2). - Benoit Cloitre (benoit7848c(AT)orange.fr), Jun 25 2003`
	EXAMPLE	`The value to 39 decimal places (calculated by Mathematica) is 1.82101745149929239040672513222600684857...`
	CROSSREFS	`Cf. A021002, A080730.` `Sequence in context: A011105 A098829 A114314 this_sequence A164800 A011008 A010149` `Adjacent sequences: A080726 A080727 A080728 this_sequence A080730 A080731 A080732`
	KEYWORD	`cons,nonn`
	AUTHOR	`Deepak R. N (deepak_rn(AT)safe-mail.net), Mar 08 2003`
	EXTENSIONS	`More terms from Benoit Cloitre, Mar 08, 2003`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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