A373513 Decimal expansion of 3*zeta(3)/2.

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

Offset

1,2

Links

Table of n, a(n) for n=1..91.

R. Barbieri, J. A. Mignaco and E. Remiddi, Electron form factors up to fourth order. I., Il Nuovo Cim. 11A (4) (1972) 824-864, Table II (2).

Chenli Li, Wenchang Chu, Improper integrals involving powers of Inverse Trigonometric and hyperbolic Functions, Mathematics 10 (16) (2022) 2980

Formula

Equals Integral_{x=0..1} log^2(x)/(x+1) dx = -2*Integral_{x=0..1} log(x)*log(1+x)/x dx.

Equals 3*A002117/2 = 2*A197070.

Equals A258750/Pi. - Hugo Pfoertner, Jun 10 2024

Equals Integral_{x=0..1} arctanh^3(x)/x^2 [Li]. - R. J. Mathar, Jun 11 2024

Example

1.80308535473939142809960724226717498614747943851...

Maple

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

Mathematica

RealDigits[3*Zeta[3]/2, 10, 120][[1]] (* Amiram Eldar, Jun 10 2024 *)

Prog

(PARI) 3*zeta(3)/2 \\ Michel Marcus, Jun 10 2024

Crossrefs

Cf. A002117, A197070, A258750.

Sequence in context: A144455 A251866 A300713 * A020837 A248679 A175574

Adjacent sequences: A373510 A373511 A373512 * A373514 A373515 A373516

Keyword

nonn,cons

Author

R. J. Mathar, Jun 07 2024

Status

approved