Number of n-node rooted trees of height 5.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =5a(7) =19a(8) =61a(9) =180a(10) =498a(11) =1323a(12) =3405a(13) =8557a(14) =21103a(15) =51248a(16) =122898a(17) =291579a(18) =685562a(19) =1599209a(20) =3705122a(21) =8532309a(22) =19543867a(23) =44552066a(24) =101124867a(25) =228640542a(26) =515125815a(27) =1156829459a(28) =2590247002a(29) =5784031485