Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=5.

A050213

Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=5.

Terms

    a(0) =24a(1) =120a(2) =720a(3) =5040a(4) =40320a(5) =362880a(6) =72576a(7) =3628800a(8) =1330560a(9) =39916800a(10) =20338560a(11) =479001600a(12) =303937920a(13) =6227020800a(14) =4643084160a(15) =87178291200a(16) =73721007360a(17) =1743565824a(20) =69742632960

External references