A346366 Decimal expansion of Mertens's constant multiplied by zeta(2).

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

Offset

0,1

Links

Table of n, a(n) for n=0..104.

Formula

Equals A077761*A013661.

Example

0.430145673798949331799597718049002550...

Mathematica

digits = 105; M = (EulerGamma - NSum[ PrimeZetaP[n] / n, {n, 2, Infinity}, WorkingPrecision -> digits+10, NSumTerms -> 3*digits]); (* A077761 *) First[RealDigits[M Zeta[2], 10, digits]]

Crossrefs

Cf. A001620, A013661, A077761, A346367.

Sequence in context: A335532 A131106 A298739 * A325011 A294188 A331956

Adjacent sequences: A346363 A346364 A346365 * A346367 A346368 A346369

Keyword

nonn,cons

Author

Stefano Spezia, Jul 14 2021

Status

approved