A132196 a(2n+1) = 2a(2n)-n for the odd indices. Smallest strictly positive integer not yet in the list for the even indices, a(2n).

1, 2, 3, 5, 4, 6, 7, 11, 8, 12, 9, 13, 10, 14, 15, 23, 16, 24, 17, 25, 18, 26, 19, 27, 20, 28, 21, 29, 22, 30, 31, 47, 32, 48, 33, 49, 34, 50, 35, 51, 36, 52, 37, 53, 38, 54, 39, 55, 40, 56, 41, 57, 42, 58, 43, 59, 44, 60, 45, 61, 46, 62, 63, 95, 64, 96, 65, 97, 66, 98, 67, 99