A231157 Number of Gram blocks [g(j), g(j+1)) up to 10^n with 0 <= j < 10^n.

1, 10, 100, 916, 8374, 78694, 755132, 7297808, 71004697

Offset

0,2

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=0..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, A231158-A231165.

Sequence in context: A213298 A224007 A136876 * A231163 A136858 A334612

Adjacent sequences: A231154 A231155 A231156 * A231158 A231159 A231160

Keyword

nonn

Author

Arkadiusz Wesolowski, Nov 04 2013

Status

approved