A080591 a(n) is taken to be the smallest positive integer greater than a(n-1) which is consistent with the condition "n is a member of the sequence if and only if a(n) is congruent to 3 mod 4".

1, 3, 4, 7, 11, 12, 13, 15, 16, 17, 18, 19, 23, 27, 28, 31, 35, 39, 43, 47, 48, 49, 50, 51, 52, 53, 54, 55, 59, 60, 61, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 83, 87, 91, 95, 99, 103, 107, 111, 112, 113, 114, 115, 119, 123, 124