Number of free highly irregular trees with n nodes.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =0a(5) =0a(6) =0a(7) =1a(8) =1a(9) =1a(10) =0a(11) =0a(12) =0a(13) =1a(14) =1a(15) =2a(16) =2a(17) =5a(18) =7a(19) =14a(20) =19a(21) =28a(22) =36a(23) =51a(24) =68a(25) =99a(26) =128a(27) =164a(28) =203a(29) =272