Number of permutations p of {1,...,n} such that |p(i+1)-p(i)| < k, k=2,...,n; T(n,k), read by rows.

Terms

a(0) =2a(1) =2a(2) =6a(3) =2a(4) =12a(5) =24a(6) =2a(7) =20a(8) =72a(9) =120a(10) =2a(11) =34a(12) =180a(13) =480a(14) =720a(15) =2a(16) =56a(17) =428a(18) =1632a(19) =3600a(20) =5040a(21) =2a(22) =88a(23) =1042a(24) =5124a(25) =15600a(26) =30240a(27) =40320a(28) =2a(29) =136