A395934 Decimal expansion of Sum_{r in Z} 1/|r*(r+1)| where r runs over the nontrivial zeros Z of the Riemann zeta function.

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

Offset

-1,1

Links

Table of n, a(n) for n=-1..91.

Marc Deléglise and Jean-Louis Nicolas, The Landau function and the Riemann hypothesis, Journal of Combinatorics and Number Theory, 2019, 11 (2). Page 3, (1.11).

Marc Deléglise and Jean-Louis Nicolas, An arithmetic equivalence of the Riemann hypothesis, Journal of the Australian Mathematical Society, Volume 106, Issue 2, April 2019, pp. 235-273.

Example

0.0461176444215090238270908421...

Crossrefs

Cf. A000793, A001620, A074760, A082633, A195423, A233825, A245275, A245276, A396146.

Sequence in context: A238582 A386714 A396444 * A384213 A154748 A190282

Adjacent sequences: A395931 A395932 A395933 * A395935 A395936 A395937

Keyword

nonn,cons

Author

Hugo Pfoertner, May 14 2026

Status

approved