Triangular array read by rows: T(n,k) = number of fixed points in the permutations of {1,2,...,n} that have exactly k cycles; n>=1, 1<=k<=n.

A180013

Triangular array read by rows: T(n,k) = number of fixed points in the permutations of {1,2,...,n} that have exactly k cycles; n>=1, 1<=k<=n.

Terms

    a(0) =1a(1) =0a(2) =2a(3) =0a(4) =3a(5) =3a(6) =0a(7) =8a(8) =12a(9) =4a(10) =0a(11) =30a(12) =55a(13) =30a(14) =5a(15) =0a(16) =144a(17) =300a(18) =210a(19) =60a(20) =6a(21) =0a(22) =840a(23) =1918a(24) =1575a(25) =595a(26) =105a(27) =7a(28) =0a(29) =5760

External references