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A092783 Ceiling of imaginary parts of zeros of Riemann zeta function. 12

%I #20 Feb 25 2019 15:42:50

%S 15,22,26,31,33,38,41,44,49,50,53,57,60,61,66,68,70,73,76,78,80,83,85,

%T 88,89,93,95,96,99,102,104,106,108,112,112,115,117,119,122,123,125,

%U 128,130,132,134,135,139,140,142,144,147,148,151,151,154,157,158,159,162,164,166,168,170,170,174

%N Ceiling of imaginary parts of zeros of Riemann zeta function.

%H <a href="/index/Z#zeta_function">OEIS index entries for sequences related to the zeta function</a>.

%F a(n) = 1+A013629(n). - _Robert G. Wilson v_, Jan 27 2015

%t Table[Ceiling[Im[ZetaZero[n]]], {n, 1, 65}] (* _Jean-François Alcover_, Feb 25 2019 *)

%o (Sage)

%o def A092783_list(n):

%o Z = lcalc.zeros(n)

%o return [ceil(z) for z in Z]

%o A092783_list(50) # _Peter Luschny_, May 02 2014

%o (PARI) apply(ceil, lfunzeros(1,[1,180])) \\ _M. F. Hasler_, Nov 23 2018

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

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

%Y 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).

%K nonn

%O 1,1

%A _Jorge Coveiro_, Apr 14 2004

%E More terms, link and cross-references from _M. F. Hasler_, Nov 23 2018

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Last modified March 29 06:15 EDT 2024. Contains 371265 sequences. (Running on oeis4.)