

A231164


Number of Gram blocks [g(j), g(j+1)) up to 10^n, 0 <= j < 10^n, which contain exactly two zeros of Z(t), where Z(t) is the RiemannSiegel Zfunction.


2




OFFSET

2,2


COMMENTS

We call a Gram point g(j) "good" if j is not in A114856, and "bad" otherwise. A "Gram block of length k" is an interval [g(j), g(j+k)) such that g(j) and g(j+k) are good Gram points, g(j+1), ..., g(j+k1) are bad Gram points, and k >= 1.


LINKS

Table of n, a(n) for n=2..8.
Richard P. Brent, On the Zeros of the Riemann Zeta Function in the Critical Strip, Math. Comp. 33 (1979), pp. 13611372.
Eric Weisstein's World of Mathematics, Gram Block
Eric Weisstein's World of Mathematics, Gram Point
Eric Weisstein's World of Mathematics, RiemannSiegel Functions


CROSSREFS

Cf. A114856, A231157A231163, A231165.
Sequence in context: A231158 A030197 A225980 * A020933 A241923 A231162
Adjacent sequences: A231161 A231162 A231163 * A231165 A231166 A231167


KEYWORD

nonn,more


AUTHOR

Arkadiusz Wesolowski, Nov 04 2013


STATUS

approved



