Triangle of number of permutations by length of shortest ascending run.

Terms

a(0) =1a(1) =1a(2) =1a(3) =5a(4) =0a(5) =1a(6) =18a(7) =5a(8) =0a(9) =1a(10) =101a(11) =18a(12) =0a(13) =0a(14) =1a(15) =611a(16) =89a(17) =19a(18) =0a(19) =0a(20) =1a(21) =4452a(22) =519a(23) =68a(24) =0a(25) =0a(26) =0a(27) =1a(28) =36287a(29) =3853