A306004 Decimal expansion of imaginary part of 10th nontrivial zero of Riemann zeta function.

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

Offset

2,1

Links

Table of n, a(n) for n=2..92.

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 * 49.77383247767230218191678467856372405772317829967666...

Mathematica

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

Prog

(PARI) lfunzeros(1, [49, 50])[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), A305744 (k=9), this sequence (k=10).

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

Sequence in context: A021205 A296425 A335089 * A056992 A339023 A169908

Adjacent sequences: A306001 A306002 A306003 * A306005 A306006 A306007

Keyword

nonn,cons

Author

Seiichi Manyama, Jun 23 2018

Extensions

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

Status

approved