A082288 n>1 appears bigomega(n) times, where bigomega(n)=A001222(n) is the number of prime factors of n (with repetition), a(1)=1.

1, 2, 3, 4, 4, 5, 6, 6, 7, 8, 8, 8, 9, 9, 10, 10, 11, 12, 12, 12, 13, 14, 14, 15, 15, 16, 16, 16, 16, 17, 18, 18, 18, 19, 20, 20, 20, 21, 21, 22, 22, 23, 24, 24, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 28, 29, 30, 30, 30, 31, 32, 32, 32, 32, 32, 33, 33, 34, 34, 35, 35, 36, 36