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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.
0
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
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
KEYWORD
sign
AUTHOR
G. L. Honaker, Jr., Nov 13 2022
STATUS
approved