A369882 Decimal expansion of log(2) - 1/4.

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

Offset

0,1

Links

Table of n, a(n) for n=0..105.

Michael Ian Shamos, A catalog of the real numbers (2011), p. 453.

Formula

Equals Sum_{k >= 2} (-1)^k*k/(k^2 - 1) [Shamos].

Equals Sum_{k >= 1} (-1)^(k+1)*(k + 1)/(k*(k + 2)).

Example

0.443147180559945309417232121458176568075500134...

Mathematica

RealDigits[Log[2] - 1/4, 10, 120][[1]] (* Amiram Eldar, Feb 04 2024 *)

Prog

(PARI) log(2)-1/4

Crossrefs

Cf. A358517, A365524.

Essentially the same as A002162 and A187832.

Sequence in context: A019706 A016497 A259259 * A194668 A138160 A364128

Adjacent sequences: A369879 A369880 A369881 * A369883 A369884 A369885

Keyword

nonn,cons,changed

Author

Claude H. R. Dequatre, Feb 04 2024

Status

approved