A080730 - OEIS

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A080730

Decimal expansion of the infinite product of zeta functions for odd arguments >= 3.

3

1, 2, 6, 0, 2, 0, 5, 7, 1, 0, 7, 0, 5, 2, 4, 1, 7, 1, 0, 7, 6, 7, 8, 1, 7, 2, 2, 6, 0, 0, 2, 4, 1, 0, 6, 2, 8, 0, 3, 4, 3, 7, 9, 8, 6, 4, 0, 8, 4, 9, 4, 9, 6, 4, 0, 3, 7, 7, 1, 5, 3, 0, 1, 3, 9, 3, 0, 6, 3, 2, 4, 8, 8, 4, 2, 9, 8, 0, 4, 3, 1, 5, 6, 6, 8, 6, 5, 0, 0, 9, 6, 4, 1, 1, 6, 3, 4, 7, 3, 4, 4, 8, 5, 8, 8

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OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

Bernd C. Kellner, On asymptotic constants related to products of Bernoulli numbers and factorials, Integers, Vol. 9 (2009), Article #A08, pp. 83-106; alternative link; arXiv:0604505 [math.NT], 2006.

FORMULA

Decimal expansion of zeta(3)*zeta(5)*zeta(7)*...*zeta(2k+1)*...

Equals A021002/A080729. - Amiram Eldar, Jan 31 2024

EXAMPLE

1.2602057107052417107678172260024106280343...

MATHEMATICA

RealDigits[ Product[ Zeta[ 2n + 1], {n, 500}], 10, 110][[1]] (* Robert G. Wilson v, Nov 21 2014 *)

PROG

(PARI) prodinf(x=1, zeta(2*x+1)) \\ Michel Marcus, Nov 22 2014

CROSSREFS

Cf. A021002, A080729.

Sequence in context: A039907 A072340 A118354 * A232178 A016590 A079461

Adjacent sequences: A080727 A080728 A080729 * A080731 A080732 A080733

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

STATUS

approved