Number of prime plane trees of weight prime(n).

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =11a(5) =30a(6) =122a(7) =336a(8) =1412a(9) =15129a(10) =44561a(11) =417542a(12) =2479120a(13) =7540843a(14) =35983502a(15) =451454834a(16) =5313515136a(17) =16809858904a(18) =190077477328