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

1,2

Links

Table of n, a(n) for n=1..55.

Formula

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

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

Example

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, ...

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 *)

Crossrefs

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

Sequence in context: A222864 A232433 A271881 * A260885 A075181 A052121

Adjacent sequences: A182726 A182727 A182728 * A182730 A182731 A182732

Keyword

nonn,easy,tabl

Author

Omar E. Pol, Jan 22 2011

Status

approved