A053627 Smallest integer which is the harmonic mean of n and an integer.

1, 2, 3, 4, 5, 3, 7, 8, 9, 10, 11, 6, 13, 14, 5, 16, 17, 9, 19, 8, 21, 22, 23, 12, 25, 26, 27, 7, 29, 10, 31, 32, 33, 34, 20, 18, 37, 38, 39, 16, 41, 12, 43, 44, 9, 46, 47, 24, 49, 50, 51, 52, 53, 27, 55, 14, 57, 58, 59, 20, 61, 62, 28, 64, 65, 11, 67, 68, 69, 40, 71, 16, 73, 74