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A305743
Decimal expansion of imaginary part of 8th nontrivial zero of Riemann zeta function.
12
4, 3, 3, 2, 7, 0, 7, 3, 2, 8, 0, 9, 1, 4, 9, 9, 9, 5, 1, 9, 4, 9, 6, 1, 2, 2, 1, 6, 5, 4, 0, 6, 8, 0, 5, 7, 8, 2, 6, 4, 5, 6, 6, 8, 3, 7, 1, 8, 3, 6, 8, 7, 1, 4, 4, 6, 8, 7, 8, 8, 9, 3, 6, 8, 5, 5, 2, 1, 0, 8, 8, 3, 2, 2, 3, 0, 5, 0, 5, 3, 6, 2, 6, 4, 5, 6, 3, 4, 9, 3, 7, 1
OFFSET
2,1
EXAMPLE
The zero is at 1/2 + I*43.3270732809149995194961221654068... - M. F. Hasler, Nov 21 2018
MATHEMATICA
RealDigits[Im[ZetaZero[8]], 10, 120][[1]] (* Vaclav Kotesovec, Jun 23 2018 *)
PROG
(PARI) solve(X=43, 44, imag(zeta(0.5+X*I))) \\ M. F. Hasler, Nov 21 2018
(PARI) lfunzeros(1, [43, 44])[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), this sequence (k=8), A305744 (k=9), A306004 (k=10).
Cf. A002410 (rounded values: main entry), A013629 (floor), A092783 (ceiling).
Sequence in context: A241180 A117323 A016502 * A117691 A375311 A243564
KEYWORD
nonn,cons
AUTHOR
Seiichi Manyama, Jun 23 2018
STATUS
approved