Triangle read by rows: T(n,k) is the number of derangements in S_n with no k-cycles. 1 <= k <= n.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =2a(5) =0a(6) =0a(7) =6a(8) =9a(9) =3a(10) =0a(11) =24a(12) =24a(13) =44a(14) =20a(15) =0a(16) =160a(17) =225a(18) =175a(19) =265a(20) =145a(21) =0a(22) =1140a(23) =1224a(24) =1434a(25) =1350a(26) =1854a(27) =1134a(28) =0a(29) =8988