A369634 - OEIS

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A369634

Decimal expansion of the infinite product of the Zeta Functions with arguments that are multiples of 3.

2

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

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OFFSET

1,2

COMMENTS

Dirichlet generating function of A000688 evaluated at s=3.

LINKS

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

FORMULA

Equals Product_{k>=1} zeta(3*k) = A002117 * A013664 * A013667 * A013670 *...

EXAMPLE

1.22570470512849740952045767158897448248993384223224...

MAPLE

evalf(product(Zeta(3*k), k = 1 .. infinity), 120) # Amiram Eldar, Jan 28 2024

PROG

(PARI) prodinf(k=1, zeta(3*k)) \\ Amiram Eldar, Jan 28 2024

CROSSREFS

Cf. A000688, A021002, A080729.

Cf. A002117, A013664, A013667, A013670.

Sequence in context: A295198 A080880 A305606 * A120843 A205674 A021447

Adjacent sequences: A369631 A369632 A369633 * A369635 A369636 A369637

KEYWORD

nonn,cons

AUTHOR

R. J. Mathar, Jan 28 2024

STATUS

approved