Triangle T(n,k) formed by the coordination sequences and the number of leaves for trees.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =2a(5) =2a(6) =1a(7) =3a(8) =6a(9) =12a(10) =1a(11) =4a(12) =12a(13) =36a(14) =108a(15) =1a(16) =5a(17) =20a(18) =80a(19) =320a(20) =1280a(21) =1a(22) =6a(23) =30a(24) =150a(25) =750a(26) =3750a(27) =18750a(28) =1a(29) =7