A358401 Difference in number of 0's in first n terms of Van Eck's sequence and number of primes less than or equal to n.

1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, -1, 0, 0, -1, -1, 0, 0, 0, 0, -1, -1, -1, -1, -1, -1, -1, 0, -1, -1, -1, -1, -2, -1, -2, -2, -1, -1, -2, -1, -1, -1, -1, -1, -1, -1, -1, -1, 0, 0, -1, 0, -1, -1, -1, 0, 0, 0, 0, 0, 0, 0, -1, -1, -1, -1

Offset

1,41

Links

Table of n, a(n) for n=1..74.

Formula

a(n) = A171896(n) - A000720(n).

Example

a(41) = -2 because there are 11 0's in the first 41 terms of Van Eck's sequence and 13 prime numbers less than or equal to 41, and 11 - 13 = -2.

Crossrefs

Cf. A000040, A000720, A171896.

Sequence in context: A304274 A081592 A255934 * A085028 A087888 A296299

Adjacent sequences: A358398 A358399 A358400 * A358402 A358403 A358404

Keyword

sign

Author

G. L. Honaker, Jr., Nov 13 2022

Status

approved