A171894 -id:A171894 - cp's OEIS frontend

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

N. J. A. Sloane, Oct 19 2010

nonn

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

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

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

A171895 Number of distinct terms among the first n terms of A181391.

Original entry on oeis.org

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

Offset: 1

Vinay Vaishampayan and N. J. A. Sloane, Oct 19 2010

nonn

N. J. A. Sloane, Table of n, a(n) for n = 1..10000

Partial sums of A171894. Essentially A171896 - 1. Cf. A181391.

cp's OEIS Frontend

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

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