A239120 Decimal expansion of 1/2 - Pi/8.

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

Offset: 0

Author

Paul Curtz, Mar 10 2014

Keywords

• nonn
• cons

Examples

			0.10730091830127584519216957709006213947535382507811....
		

Links

• I. S. Gradsteyn and I. M. Ryzhik, Table of integrals, series and products (6h ed.), 2000, (eq. 0.237.2).
• Index entries for transcendental numbers

Crossrefs

Cf. A000796, A019675, A210958.

Programs

Mathematica

RealDigits[1/2-Pi/8,10,120][[1]] (* Harvey P. Dale, Sep 25 2017 *)

PARI

1/2 - Pi/8

Formula

Equals 1/2 - A019675 = A210958/2.

Equals Sum_{k>=1} zeta(2*k)/16^k. - Amiram Eldar, May 27 2021

Equals Sum_{k>=1} (-1)^(k+1)/(4*k^2 - 1)^2. - Peter Bala, Feb 28 2024

Equals Sum_{k>=1} 1/((4*k-1)*(4*k+1)). - Sean A. Irvine, Apr 06 2025