A305744 Decimal expansion of imaginary part of 9th nontrivial zero of Riemann zeta function.

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

Offset

2,1

Links

Table of n, a(n) for n=2..94.

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

OEIS index entries for sequences related to the zeta function.

Example

The zero is at 1/2 + i * 48.0051508811671597279424727494275160416868440011444251...

Mathematica

RealDigits[Im[ZetaZero[9]], 10, 120][[1]] (* Vaclav Kotesovec, Jun 23 2018 *)

Prog

(PARI) lfunzeros(1, [48, 49])[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), A305742 (k=7), A305743 (k=8), this sequence (k=9), A306004 (k=10).

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

Sequence in context: A297215 A134900 A028583 * A182500 A260189 A208926

Adjacent sequences: A305741 A305742 A305743 * A305745 A305746 A305747

Keyword

nonn,cons

Author

Seiichi Manyama, Jun 23 2018

Extensions

Edited (example, link, cross-references) by M. F. Hasler, Nov 23 2018

Status

approved