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

1,1

Links

Table of n, a(n) for n=1..65.

OEIS index entries for sequences related to the zeta function.

Formula

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

Mathematica

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

Prog

(Sage)
def A092783_list(n):
    Z = lcalc.zeros(n)
    return [ceil(z) for z in Z]
A092783_list(50) # Peter Luschny, May 02 2014
(PARI) apply(ceil, lfunzeros(1, [1, 180])) \\ M. F. Hasler, Nov 23 2018

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).

Sequence in context: A297931 A018888 A115174 * A108638 A076379 A227095

Adjacent sequences: A092780 A092781 A092782 * A092784 A092785 A092786

Keyword

nonn

Author

Jorge Coveiro, Apr 14 2004

Extensions

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

Status

approved