Rooted tree triangle read by rows: a(n,k) = number of forests with n nodes and k rooted trees.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =1a(5) =1a(6) =4a(7) =3a(8) =1a(9) =1a(10) =9a(11) =6a(12) =3a(13) =1a(14) =1a(15) =20a(16) =16a(17) =7a(18) =3a(19) =1a(20) =1a(21) =48a(22) =37a(23) =18a(24) =7a(25) =3a(26) =1a(27) =1a(28) =115a(29) =96