A231158 Number of Gram blocks [g(j), g(j+2)) up to 10^n with 0 <= j < 10^n.

0, 42, 780, 9445, 100203, 1034545, 10493487

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+k-1) 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. 1361-1372.

Eric Weisstein's World of Mathematics, Gram Block

Eric Weisstein's World of Mathematics, Gram Point

Crossrefs

Cf. A114856, A231157, A231159-A231165.

Sequence in context: A330845 A333113 A252827 * A030197 A225980 A231164

Adjacent sequences: A231155 A231156 A231157 * A231159 A231160 A231161

Keyword

nonn,more

Author

Arkadiusz Wesolowski, Nov 04 2013

Status

approved