Triangle read by rows: T(n,k) = number of partial derangements, that is, the number of permutations of n distinct, ordered items in which exactly k of the items are in their natural ordered positions, for n >= 0, k = n, n-1, ..., 1, 0.

A098825

Triangle read by rows: T(n,k) = number of partial derangements, that is, the number of permutations of n distinct, ordered items in which exactly k of the items are in their natural ordered positions, for n >= 0, k = n, n-1, ..., 1, 0.

Terms

    a(0) =1a(1) =1a(2) =0a(3) =1a(4) =0a(5) =1a(6) =1a(7) =0a(8) =3a(9) =2a(10) =1a(11) =0a(12) =6a(13) =8a(14) =9a(15) =1a(16) =0a(17) =10a(18) =20a(19) =45a(20) =44a(21) =1a(22) =0a(23) =15a(24) =40a(25) =135a(26) =264a(27) =265a(28) =1a(29) =0

External references