Permutation trees of power n and height k.

Terms

a(0) =1a(1) =1a(2) =1a(3) =1a(4) =1a(5) =4a(6) =1a(7) =1a(8) =14a(9) =8a(10) =1a(11) =1a(12) =51a(13) =54a(14) =13a(15) =1a(16) =1a(17) =202a(18) =365a(19) =132a(20) =19a(21) =1a(22) =1a(23) =876a(24) =2582a(25) =1289a(26) =265a(27) =26a(28) =1a(29) =1