A340484 Decimal expansion of Sum_{k>=2} (log k)^2/(k^2-1).

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

Offset: 1

Author

R. J. Mathar, Jan 09 2021

Keywords

• nonn
• cons

Examples

			2.0670287518386506714201847827053819302773427525873369704342178841959...
		

Crossrefs

Cf. A340440, A340485.

Programs

PARI

sumpos(k=2, log(k)^2/(k^2-1)) \\ Michel Marcus, Jan 09 2021

Formula

Equals Sum_{i>=1} Zeta''(2*i) = A201994 + A340443 + Sum_{i>=3} Zeta''(2*i).