A082037 A square array of linear-factorial numbers, read by antidiagonals.
1, 1, 1, 1, 2, 2, 1, 3, 6, 6, 1, 4, 10, 24, 24, 1, 5, 14, 42, 120, 120, 1, 6, 18, 60, 216, 720, 720, 1, 7, 22, 78, 312, 1320, 5040, 5040, 1, 8, 26, 96, 408, 1920, 9360, 40320, 40320, 1, 9, 30, 114, 504, 2520, 13680, 75600, 362880, 362880
Offset: 0
Examples
Rows begin 1 1 2 6 .... 1 2 6 24 ... 1 3 10 42 ... 1 4 14 60 ... 1 5 18 78 ...
Crossrefs
Cf. A077038.
Formula
Square array defined by T(n, k)=(kn+1)n!
Comments