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

0,3

Links

Table of n, a(n) for n=0..104.

Index entries for transcendental numbers

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

Example

0.10730091830127584519216957709006213947535382507811....

Mathematica

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

Prog

(PARI) 1/2 - Pi/8

Crossrefs

Cf. A000796, A019675, A210958.

Sequence in context: A350621 A103237 A338305 * A369134 A021582 A098459

Adjacent sequences: A239117 A239118 A239119 * A239121 A239122 A239123

Keyword

nonn,cons

Author

Paul Curtz, Mar 10 2014

Status

approved