A385647 Decimal expansion of 1 - log(2)/2.

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

Offset

0,1

Comments

Probability that floor(x/y) is even for x, y chosen randomly in (0,1).

Links

Paolo Xausa, Table of n, a(n) for n = 0..10000

Morphocular, The answer involves Pi because why wouldn't it?, YouTube video, 2025 (see second half of video).

Formula

Equals 1 - A002162/2.

Example

0.65342640972002734529138393927091171596224993281987...

Mathematica

First[RealDigits[1 - Log[2]/2, 10, 100]]

Prog

(Magma) SetDefaultRealField(RealField(100)); [1 - Log(2)/2]; // Vincenzo Librandi, Jul 07 2025

Crossrefs

Cf. A002162, A091651.

Essentially the same as A382854.

Sequence in context: A259281 A393961 A153330 * A225661 A225662 A225663

Adjacent sequences: A385644 A385645 A385646 * A385648 A385649 A385650

Keyword

nonn,cons,easy

Author

Paolo Xausa, Jul 06 2025

Status

approved