A305742 Decimal expansion of imaginary part of 7th nontrivial zero of Riemann zeta function.

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

Offset

2,1

Links

Table of n, a(n) for n=2..93.

Andrew M. Odlyzko, Tables of zeros of the Riemann zeta function

Example

The zero is at 1/2 + i * 40.918719012147495187398126914633254395726165962777...

Mathematica

RealDigits[Im[ZetaZero[7]], 10, 120][[1]] (* Vaclav Kotesovec, Jun 23 2018 *)

Prog

(PARI) lfunzeros(1, [40, 41])[1] \\ M. F. Hasler, Nov 23 2018

Crossrefs

Imaginary part of k-th nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3), A065453 (k=4), A192492 (k=5), A305741 (k=6), this sequence (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).

Cf. A002410 (rounded values: main entry), A013629 (floor), A092783 (ceiling).

Sequence in context: A187606 A138478 A213472 * A199000 A339530 A200591

Adjacent sequences: A305739 A305740 A305741 * A305743 A305744 A305745

Keyword

nonn,cons

Author

Seiichi Manyama, Jun 23 2018

Status

approved