Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=3.

A050211

Triangle of number of permutations of {1, 2, ..., n} having exactly k cycles, each of which is of length >=r for r=3.

Terms

    a(0) =2a(1) =6a(2) =24a(3) =120a(4) =40a(5) =720a(6) =420a(7) =5040a(8) =3948a(9) =40320a(10) =38304a(11) =2240a(12) =362880a(13) =396576a(14) =50400a(15) =3628800a(16) =4419360a(17) =859320a(18) =39916800a(19) =53048160a(20) =13665960a(21) =246400a(22) =479001600a(23) =684478080a(24) =216339552a(25) =9609600a(26) =6227020800a(27) =9464307840a(28) =3501834336

External references