Triangle read by rows: T(n,k) is the number of noncrossing forests with n vertices and k edges.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =3a(5) =3a(6) =1a(7) =6a(8) =14a(9) =12a(10) =1a(11) =10a(12) =40a(13) =75a(14) =55a(15) =1a(16) =15a(17) =90a(18) =275a(19) =429a(20) =273a(21) =1a(22) =21a(23) =175a(24) =770a(25) =1911a(26) =2548a(27) =1428a(28) =1a(29) =28