A092783 Ceiling of imaginary parts of zeros of Riemann zeta function.

15, 22, 26, 31, 33, 38, 41, 44, 49, 50, 53, 57, 60, 61, 66, 68, 70, 73, 76, 78, 80, 83, 85, 88, 89, 93, 95, 96, 99, 102, 104, 106, 108, 112, 112, 115, 117, 119, 122, 123, 125, 128, 130, 132, 134, 135, 139, 140, 142, 144, 147, 148, 151, 151, 154, 157, 158, 159, 162, 164, 166, 168, 170, 170, 174

Offset: 1

Author

Jorge Coveiro, Apr 14 2004

Keywords

• nonn

Links

• OEIS index entries for sequences related to the zeta function.

Crossrefs

Cf. A002410: nearest integer to imaginary part of n-th zero of Riemann zeta function (main entry).

Cf. A013629: floor of imaginary parts of zeros of Riemann zeta function.

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), A306004 (k=10).

Programs

Mathematica

Table[Ceiling[Im[ZetaZero[n]]], {n, 1, 65}] (* Jean-François Alcover, Feb 25 2019 *)

PARI

apply(ceil, lfunzeros(1,[1,180])) \\ M. F. Hasler, Nov 23 2018

Sage

def A092783_list(n):
    Z = lcalc.zeros(n)
    return [ceil(z) for z in Z]
A092783_list(50) # Peter Luschny, May 02 2014

Formula

a(n) = 1+A013629(n). - Robert G. Wilson v, Jan 27 2015

Extensions

More terms, link and cross-references from M. F. Hasler, Nov 23 2018