Number T(n,k) of permutations of [n] for which the difference between the longest and the shortest cycle length is k; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

A364967

Number T(n,k) of permutations of [n] for which the difference between the longest and the shortest cycle length is k; triangle T(n,k), n>=0, 0<=k<=max(0,n-2), read by rows.

Terms

    a(0) =1a(1) =1a(2) =2a(3) =3a(4) =3a(5) =10a(6) =6a(7) =8a(8) =25a(9) =45a(10) =20a(11) =30a(12) =176a(13) =60a(14) =250a(15) =90a(16) =144a(17) =721a(18) =861a(19) =770a(20) =1344a(21) =504a(22) =840a(23) =6406a(24) =1778a(25) =7980a(26) =6300a(27) =8736a(28) =3360a(29) =5760

External references