A024698 (p(n+1) - 1)/4 if this is an integer or (p(n+1) + 1)/4 otherwise.

1, 1, 2, 3, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 15, 15, 17, 18, 18, 20, 21, 22, 24, 25, 26, 27, 27, 28, 32, 33, 34, 35, 37, 38, 39, 41, 42, 43, 45, 45, 48, 48, 49, 50, 53, 56, 57, 57, 58, 60, 60, 63, 64, 66, 67, 68, 69, 70, 71, 73, 77, 78, 78, 79, 83, 84, 87, 87, 88, 90, 92, 93, 95, 96, 97, 99, 100