A171896 Number of 0's in first n terms of Van Eck's sequence (A181391).

1, 2, 2, 3, 3, 4, 4, 4, 4, 4, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 8, 8, 8, 8, 9, 9, 9, 9, 9, 9, 10, 10, 10, 10, 10, 11, 11, 11, 11, 11, 11, 12, 12, 12, 13, 13, 13, 14, 14, 14, 14, 14, 15, 15, 15, 15, 16, 16, 16, 17, 17, 17, 17, 18, 18, 18, 19, 19, 19, 19, 19, 19, 20, 20, 20, 20

Offset: 1

Author

N. J. A. Sloane, Oct 19 2010

Keywords

• nonn

Comments

Initially, seems to be about 0.136 times n. Maybe constant times n/log(n)? It would be nice to know more. - N. J. A. Sloane, Oct 10 2017

a(10^12) = 90689534032. - Benjamin Chaffin, Sep 11 2019

Links

• N. J. A. Sloane, Table of n, a(n) for n = 1..10000
• Benjamin Chaffin, Plot of a(n)/n for the first 10^12 terms

Crossrefs

Essentially A171895 + 1. First differences give A171894. Cf. A181391.