

A305741


Decimal expansion of imaginary part of 6th nontrivial zero of Riemann zeta function.


12



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

2,1


LINKS

Table of n, a(n) for n=2..92.
Andrew M. Odlyzko, Tables of zeros of the Riemann zeta function


EXAMPLE

The zero is at 1/2 + i * 37.58617815882567125721776348070533282140559735083...


MATHEMATICA

RealDigits[Im[ZetaZero[6]], 10, 120][[1]] (* Vaclav Kotesovec, Jun 23 2018 *)


PROG

(PARI) lfunzeros(1, [37, 38])[1] \\ M. F. Hasler, Nov 23 2018


CROSSREFS

Imaginary part of kth nontrivial zero of Riemann zeta function: A058303 (k=1), A065434 (k=2), A065452 (k=3), A065453 (k=4), A192492 (k=5), this sequence (k=6), A305742 (k=7), A305743 (k=8), A305744 (k=9), A306004 (k=10).
Cf. A002410 (rounded values: main entry), A013629 (floor), A092783 (ceiling).
Sequence in context: A161327 A151685 A019809 * A021270 A259565 A113910
Adjacent sequences: A305738 A305739 A305740 * A305742 A305743 A305744


KEYWORD

nonn,cons


AUTHOR

Seiichi Manyama, Jun 23 2018


STATUS

approved



