Triangle read by rows: T(n,k) is the number of permutations in symmetric group S_n with (n-k) fixed points and an odd number of non-fixed point cycles. Equivalent to the number of cycles of n items with cycle type defined by non-unity partitions of k <= n that contain an odd number of parts.

A373418

Triangle read by rows: T(n,k) is the number of permutations in symmetric group S_n with (n-k) fixed points and an odd number of non-fixed point cycles. Equivalent to the number of cycles of n items with cycle type defined by non-unity partitions of k <= n that contain an odd number of parts.

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =1a(6) =0a(7) =0a(8) =3a(9) =2a(10) =0a(11) =0a(12) =6a(13) =8a(14) =6a(15) =0a(16) =0a(17) =10a(18) =20a(19) =30a(20) =24a(21) =0a(22) =0a(23) =15a(24) =40a(25) =90a(26) =144a(27) =135a(28) =0a(29) =0

External references