Triangle T(n,k) for the number of permutations in symmetric group S_n with (n-k) fixed points and an even 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 even number of parts.
A373417
Triangle T(n,k) for the number of permutations in symmetric group S_n with (n-k) fixed points and an even 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 even number of parts.
Terms
- a(0) =1a(1) =1a(2) =0a(3) =1a(4) =0a(5) =0a(6) =1a(7) =0a(8) =0a(9) =0a(10) =1a(11) =0a(12) =0a(13) =0a(14) =3a(15) =1a(16) =0a(17) =0a(18) =0a(19) =15a(20) =20a(21) =1a(22) =0a(23) =0a(24) =0a(25) =45a(26) =120a(27) =130a(28) =1a(29) =0
External references
- oeis: A373417