A094939 a(n) = Floor[2^n*ln(n)].

0, 2, 8, 22, 51, 114, 249, 532, 1124, 2357, 4910, 10178, 21012, 43238, 88737, 181704, 371354, 757693, 1543734, 3141252, 6384826, 12964771, 26302431, 53318895, 108007549, 218647157, 442359736, 894481837, 1807803183, 3652007880