Irregular triangular array read by rows: T(n,k) is the number of compatible pairs (f,g) of functions from [n] into [n] such that the integer partition induced by f and g is the k-th partition in the canonical (reverse lexicographic) ordering of the partitions, n>=0, 1<=k<=A000041(n).
A390121
Irregular triangular array read by rows: T(n,k) is the number of compatible pairs (f,g) of functions from [n] into [n] such that the integer partition induced by f and g is the k-th partition in the canonical (reverse lexicographic) ordering of the partitions, n>=0, 1<=k<=A000041(n).
Terms
- a(0) =1a(1) =1a(2) =2a(3) =4a(4) =3a(5) =54a(6) =36a(7) =4a(8) =192a(9) =216a(10) =1728a(11) =576a(12) =5a(13) =500a(14) =2000a(15) =12000a(16) =27000a(17) =72000a(18) =14400a(19) =6a(20) =1080a(21) =6750a(22) =54000a(23) =6000a(24) =432000a(25) =864000a(26) =162000a(27) =2916000a(28) =3888000a(29) =518400
External references
- oeis: A390121