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 A161914 Gaps between the nontrivial zeros of Riemann zeta function, rounded to nearest integers, with a(1)=14. 9
 14, 7, 4, 5, 3, 5, 3, 2, 5, 2, 3, 3, 3, 1, 4, 2, 2, 3, 4, 1, 2, 4, 2, 3, 1, 4, 2, 1, 3, 2, 2, 2, 2, 4, 1, 2, 2, 3, 3, 2, 1, 3, 2, 2, 2, 1, 3, 2, 1, 2, 3, 1, 3, 1, 2, 3, 1, 1, 2, 2, 3, 2, 2, 1, 3, 1, 2, 2, 2, 2, 3, 1, 2, 2, 3, 1, 2, 2, 1, 3, 1, 2, 1, 3, 2, 2, 2, 1, 2, 3, 2, 1, 3, 1, 2, 2, 2, 1, 2, 3, 1, 2, 1, 2, 1 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS We consider here the imaginary part of 1/2 + iy = z, for which Zeta(z) is a zero. Note that these are not the first differences of A002410 because rounding is done here AFTER computing the differences. - R. J. Mathar, Jul 04 2009 What is the largest n such that a(n) > 0? - Charles R Greathouse IV, Jan 08 2012 This doesn't seem feasible to compute, probably more than 10^200. - Charles R Greathouse IV, Jan 29 2013 LINKS T. D. Noe, Table of n, a(n) for n = 1..1000 A. M. Odlyzko, Tables of zeros of the Riemann zeta function EXAMPLE The absolute difference between the first nontrivial zero (14.134725...) and the second nontrivial zero (21.022039...) is equal to 6.887314... which rounded to nearest integer is equal to 7, then a(2) = 7. MATHEMATICA Join[{14}, Table[Round[Im[ZetaZero[n] - ZetaZero[n - 1]]], {n, 2, 100}]] (* Alonso del Arte, Jan 29 2013 *) CROSSREFS Cf. A002410, A162774, A162780-A162782, A208436, A210447, A221974. Sequence in context: A048932 A329022 A033334 * A162774 A254873 A004479 Adjacent sequences:  A161911 A161912 A161913 * A161915 A161916 A161917 KEYWORD nonn AUTHOR Omar E. Pol, Jun 26 2009 EXTENSIONS Extended by R. J. Mathar, Jul 04 2009 STATUS approved

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Last modified June 24 12:30 EDT 2021. Contains 345416 sequences. (Running on oeis4.)