A231160 Number of Gram blocks [g(j), g(j+4)) up to 10^n with 0 <= j < 10^n.

0, 19, 709, 19115, 340360

Offset

4,2

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+k-1) are bad Gram points, and k >= 1.

Links

Table of n, a(n) for n=4..8.

Richard P. Brent, On the Zeros of the Riemann Zeta Function in the Critical Strip, Math. Comp. 33 (1979), pp. 1361-1372.

Eric Weisstein's World of Mathematics, Gram Block

Eric Weisstein's World of Mathematics, Gram Point

Crossrefs

Cf. A114856, A231157-A231159, A231161-A231165.

Sequence in context: A233011 A369373 A280112 * A344131 A078986 A364299

Adjacent sequences: A231157 A231158 A231159 * A231161 A231162 A231163

Keyword

nonn,more

Author

Arkadiusz Wesolowski, Nov 04 2013

Status

approved