A183699 Decimal expansion of zeta(2)*zeta(3), the product of two Riemann zeta values.

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

Offset: 1

Author

R. J. Mathar, Jan 06 2011

Keywords

• nonn
• cons

Comments

Equals the Dirichlet zeta-function Sum_{n>=1} A000203(n)/n^s at s=3.

Examples

			Equals 1.977304350297296118197085441485...
		

Crossrefs

Cf. A000203, A013661, A002117, A347213.

Cf. A183700 (s=4).

Programs

Maple

evalf(Zeta(2)*Zeta(3));

Mathematica

RealDigits[Zeta[2] * Zeta[3], 10, 120][[1]] (* Amiram Eldar, Jun 12 2023 *)

PARI

zeta(2)*zeta(3) \\ Charles R Greathouse IV, Mar 04 2015

Formula

Equals A013661 * A002117.