Triangle read by rows: number of permutation trees of power n and width <= k.

Terms

a(0) =1a(1) =1a(2) =2a(3) =1a(4) =5a(5) =6a(6) =1a(7) =12a(8) =23a(9) =24a(10) =1a(11) =27a(12) =93a(13) =119a(14) =120a(15) =1a(16) =58a(17) =360a(18) =662a(19) =719a(20) =720a(21) =1a(22) =121a(23) =1312a(24) =3728a(25) =4919a(26) =5039a(27) =5040a(28) =1a(29) =248