A199499 Imaginary part of first zeta zero divided by 2*Pi.

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

Offset

1,1

Comments

2.249611375...= Im(ZetaZero(1))/(2*Pi);

2.249612177...= Re(zeta(1/ZetaZero(2))*(1-1/(11/2)^(1/ZetaZero(2)-1))). - Mats Granvik, Mar 10 2016

Links

Table of n, a(n) for n=1..90.

Example

2.249611375552367424243270711590078695...

Mathematica

RealDigits[N[Im[ZetaZero[1]]/(2*Pi), 90]]

Prog

(PARI) solve(y=14, 15, imag(zeta(1/2+y*I)))/2/Pi \\ Charles R Greathouse IV, Mar 10 2016
(PARI) lfunzeros(lzeta, [14, 15])[1]/2/Pi \\ Charles R Greathouse IV, Mar 10 2016

Crossrefs

Cf. A058303.

Sequence in context: A019822 A322765 A281605 * A351351 A160126 A257515

Adjacent sequences: A199496 A199497 A199498 * A199500 A199501 A199502

Keyword

nonn,cons

Author

Mats Granvik, Nov 07 2011

Status

approved