A025069 s(1)t(n) + s(2)t(n-1) + ... + s(k)t(n-k+1), where k = [ n/2 ], s = A023532, t = (1, p(1), p(2), ...).

2, 3, 5, 7, 16, 20, 35, 43, 53, 65, 86, 106, 137, 153, 196, 220, 246, 270, 329, 353, 412, 454, 521, 559, 642, 686, 732, 780, 869, 917, 1032, 1080, 1199, 1263, 1388, 1456, 1597, 1673, 1735, 1823, 1974, 2062, 2227, 2301, 2476, 2572, 2761, 2863, 3062, 3166, 3365, 3475, 3591