A380387 Decimal expansion of Sum_{n>=1} lambda(n)/2^n where lambda is the Liouville function (A008836).

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

Offset

0,2

Comments

Close in value to log(zeta(Pi)) = 0.162324388... (A300892).

Links

Table of n, a(n) for n=0..85.

Formula

Equals 2*A343784 - 1. - Hugo Pfoertner, Jan 25 2025

Example

0.16232463762392978595979733583622409170004837922881594919344293897...

Mathematica

RealDigits[Sum[N[LiouvilleLambda[n]/ 2^n, 128], {n, 300}], 10, 86][[1]]

Prog

(PARI) suminf(n=1, (-1)^bigomega(n)/2^n) \\ Michel Marcus, Jan 23 2025

Crossrefs

Cf. A008836, A238270, A300892, A343784.

Sequence in context: A155527 A196525 A300892 * A291359 A055942 A127916

Adjacent sequences: A380384 A380385 A380386 * A380388 A380389 A380390

Keyword

nonn,cons

Author

Friedjof Tellkamp, Jan 23 2025

Status

approved