A038668 a(n)=[ n/3 ] + [ n/4 ] + [ n/7 ] + [ n/11 ] + [ n/18 ] + [ n/29 ] + [ n/47 ] + [ n/76 ] + [ n/123 ] + [ n/199 ]... (using Lucas numbers A000204).

0, 0, 1, 2, 2, 3, 4, 5, 6, 6, 7, 9, 9, 10, 11, 12, 12, 14, 14, 15, 17, 18, 18, 20, 20, 20, 21, 23, 24, 25, 25, 26, 28, 28, 29, 32, 32, 32, 33, 34, 34, 36, 36, 38, 39, 39, 40, 42, 43, 43, 44, 45, 45, 47, 48, 50, 51, 52, 52, 54, 54, 54, 56, 57, 57, 59, 59, 60, 61, 62, 62, 65, 65, 65