Triangle of coefficients of generating function of binary rooted trees of height at most n.

Terms

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