Number of n-node rooted trees of height 4.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =1a(5) =4a(6) =13a(7) =36a(8) =93a(9) =225a(10) =528a(11) =1198a(12) =2666a(13) =5815a(14) =12517a(15) =26587a(16) =55933a(17) =116564a(18) =241151a(19) =495417a(20) =1011950a(21) =2055892a(22) =4157514a(23) =8371318a(24) =16792066a(25) =33564256a(26) =66875221a(27) =132849983a(28) =263192599a(29) =520087551