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
Examples
0.16232463762392978595979733583622409170004837922881594919344293897...
Programs
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Mathematica
RealDigits[Sum[N[LiouvilleLambda[n]/ 2^n, 128], {n, 300}], 10, 86][[1]] -
PARI
suminf(n=1, (-1)^bigomega(n)/2^n) \\ Michel Marcus, Jan 23 2025
Formula
Equals 2*A343784 - 1. - Hugo Pfoertner, Jan 25 2025
Comments