Triangle of increasing mobiles (circular rooted trees) with n nodes and k leaves.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =1a(5) =0a(6) =1a(7) =4a(8) =2a(9) =0a(10) =1a(11) =11a(12) =18a(13) =6a(14) =0a(15) =1a(16) =26a(17) =98a(18) =96a(19) =24a(20) =0a(21) =1a(22) =57a(23) =424a(24) =874a(25) =600a(26) =120a(27) =0a(28) =1a(29) =120