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A092783
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Ceiling of imaginary parts of zeros of Riemann zeta function.
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12
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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
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OFFSET
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1,1
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LINKS
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Table of n, a(n) for n=1..65.
OEIS index entries for sequences related to the zeta function.
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FORMULA
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a(n) = 1+A013629(n). - Robert G. Wilson v, Jan 27 2015
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MATHEMATICA
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Table[Ceiling[Im[ZetaZero[n]]], {n, 1, 65}] (* Jean-François Alcover, Feb 25 2019 *)
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PROG
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(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
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CROSSREFS
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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
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KEYWORD
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nonn
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AUTHOR
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Jorge Coveiro, Apr 14 2004
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EXTENSIONS
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More terms, link and cross-references from M. F. Hasler, Nov 23 2018
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STATUS
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approved
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