A079627 Sum(mu(m) : prime(n) < m < prime(n+1)), where mu is the Moebius function (A008683).

0, 0, 1, 1, 0, 2, 0, 2, 1, -1, 3, 2, -1, 1, 1, 3, 0, 1, 0, 0, 1, 1, 3, 4, 0, -1, 0, 0, 0, 4, 0, 2, -1, 5, 0, 0, 3, 0, -1, 1, 0, 0, 0, 0, 0, 7, 6, 1, 0, -2, 1, 0, 1, 1, 1, 1, 0, 0, 1, -1, -1, 7, 0, 0, 1, 5, 2, 2, 0, 0, 0, 1, 0, 0, 2, 0, 5, 0, 0, 2, 0, -1, 0, -2, -1, 3, 2, 1, 1, 0, 2, 2, 1, 0, 2, 0, 5, 0, 4, 4, 2, 1, 2, 1, 0, 3