A395699 Decimal expansion of the von Mangoldt weight v_Lambda(2) = Integral_{s=1..oo} log(2)/(2^s * zeta(s)).

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

Offset

0,1

Links

Table of n, a(n) for n=0..86.

Boris Alexeev, Kevin Barreto, Yanyang Li, Jared Duker Lichtman, Liam Price, Jibran Iqbal Shah, Quanyu Tang, and Terence Tao, Primitive sets and von Mangoldt chains: Erdős Problem #1196 and beyond, arXiv:2605.00301 [math.NT], 2026, p.9.

Example

0.28629356139994481203295392784519461491400196038527183499939581...

Mathematica

RealDigits[NIntegrate[Log[2] / (2^s Zeta[s]), {s, 1, Infinity}, WorkingPrecision -> 120], 10, 88][[1]]

Crossrefs

Sequence in context: A019771 A264643 A016594 * A175803 A019986 A146943

Adjacent sequences: A395696 A395697 A395698 * A395700 A395701 A395702

Keyword

nonn,cons

Author

Peter Luschny, May 14 2026

Status

approved