A136049 a(n)=number of primes p such that (p,p+2) is a pair of twin primes with n^2 + n < p < n^2+3*n+2.

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