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

Author

R. J. Mathar, Jan 28 2024

Keywords

• nonn
• cons

Comments

Dirichlet generating function of A000688 evaluated at s=3.

Examples

			1.22570470512849740952045767158897448248993384223224...
		

Crossrefs

Cf. A000688, A021002, A080729.

Cf. A002117, A013664, A013667, A013670.

Programs

Maple

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

PARI

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

Formula

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