A058329 a(n) is smallest positive integer > a(n-1) such that (sum{k=1 to n}[a(k)]) divides (product{k=1 to n}[a(k)])*(sum{k=1 to n}[1/a(k)]).

1, 2, 4, 8, 13, 17, 52, 59, 71, 85, 104, 112, 148, 156, 192, 224, 264, 280, 284, 290, 322, 336, 356, 364, 372, 420, 434, 438, 442, 450, 460, 465, 503, 504, 516, 521, 523, 558, 570, 572, 578, 580, 598, 612, 624, 636, 656, 667, 669, 708, 711, 719, 725, 731, 744