A386403 Decimal expansion of zeta(3)/3.

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

Offset: 0

Author

R. J. Mathar, Jul 20 2025

Keywords

• nonn
• cons

Examples

			0.4006856343865314284665793871704833...
		

Links

• Michael I. Shamos, Shamos's catalog of the real numbers, 2011. See p. 424.

Crossrefs

Cf. A002117, A072691 (zeta(2)/2), A098198 (zeta(4)/4), A386404 (zeta(5)/5), A259928 (zeta(6)/6).

Programs

Maple

Digits := 100 ; Zeta(3.0)/3. ;

Mathematica

RealDigits[Zeta[3]/3, 10 , 120][[1]] (* Amiram Eldar, Jul 21 2025 *)

PARI

zeta(3)/3 \\ Amiram Eldar, Jul 21 2025

Formula

Equals A002117/3.

Equals Sum_{k>=1} cos(k*Pi/3)/k^3 (Shamos, 2011). - Amiram Eldar, Jul 21 2025