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 A234323 Number of nontrivial zeros of the Riemann Zeta function in the interval 1/2+i[n,n+1). 8
 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1, 0, 0, 1, 0, 0 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1 COMMENTS It gives the number of zeros for each integer. The average value is a(n) ~ log(n)/(2*Pi). LINKS Simon Plouffe, a(n)from 1 to 1000000 LMFDB David Platt's table of the zeros up to 103 billion Table of the first 103 billion zeros. Wikipedia, Riemann zeta function zeros EXAMPLE First zero is at 14.134, therefore a(14) = 1, the second is at 21.022 therefore a(21) = 1, there are 2 zeros between 111 and 112, a(111) = 2. PROG (PARI) #lfunzeros(lzeta, [n, n+1]) \\ Charles R Greathouse IV, Mar 10 2016 CROSSREFS Cf. A013629, A002410. Sequence in context: A011728 A297043 A133010 * A162782 A011727 A297042 Adjacent sequences:  A234320 A234321 A234322 * A234324 A234325 A234326 KEYWORD nonn AUTHOR Simon Plouffe, Dec 23 2013 STATUS approved

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Last modified August 3 10:49 EDT 2020. Contains 336198 sequences. (Running on oeis4.)