A369634 Decimal expansion of the infinite product of the Zeta Functions with arguments that are multiples of 3.

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

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