A182729 Square array T(n,k) = (n*k-1)*A000041(n) read by antidiagonals upwards.

0, 2, 1, 6, 6, 2, 15, 15, 10, 3, 28, 35, 24, 14, 4, 55, 63, 55, 33, 18, 5, 90, 121, 98, 75, 42, 22, 6, 154, 195, 187, 133, 95, 51, 26, 7, 240, 330, 300, 253, 168, 115, 60, 30, 8, 378, 510, 506, 405, 319, 203, 135, 69, 34, 9

Offset: 1

Author

Omar E. Pol, Jan 22 2011

Keywords

• nonn
• easy
• tabl

Examples

			Square array T(n,k) begins:
   0,   1,   2,   3,   4,   5, ...
   2,   6,  10,  14,  18,  22, ...
   6,  15,  24,  33,  42,  51, ...
  15,  35,  55,  75,  95, 115, ...
  28,  63,  98, 133, 168, 203, ...
  55, 121, 187, 253, 319, 385, ...
		

Crossrefs

Cf. A000041, A135010, A182724, A182728, A183009, A183010, A183011.

Programs

Maple

T:= (n,k)-> (n*k-1)*combinat[numbpart](n):
seq (seq (T(d-k, k), k=1..d-1), d=2..11);

Mathematica

Table[With[{n = m - k + 1}, (n k - 1) PartitionsP[n]], {m, 10}, {k, m}] // Flatten (* Michael De Vlieger, Nov 02 2017 *)

Formula

T(n,1) = A182724(n).

T(n,24) = A183011(n).