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A182729 Square array T(n,k) = (n*k-1)*A000041(n) read by antidiagonals upwards. 4
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified June 16 07:14 EDT 2019. Contains 324145 sequences. (Running on oeis4.)