A298824 Triangle read by rows. The transpose of the upper triangular part of the square matrix A298674.

1, 2, -2, -1, 2, -1, 3, -1, 3, -1, 2, 2, -3, 2, -3, -2, -4, -2, 2, 4, 2, 2, 2, 2, 2, -5, 2, -5, 4, 0, 4, 0, 4, 0, 4, 0, -3, 3, -3, -3, 3, -3, -3, 3, -3, 4, -4, -6, -4, -6, -4, 4, 6, 4, 6, 2, 2, 2, 2, 2, 2, 2, 2, -9, 2, -9, -3, -2, -3, 1, 6, 1, -3, -2, -3, 1, 6, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, -11, 2, -11

Offset: 1

Author

Mats Granvik, Jan 27 2018

Keywords

• sign
• tabl

Examples

			Triangle begins:
  ==========================================================
  n\k|  1   2   3   4   5   6   7   8   9  10   11  12   13
  ---+------------------------------------------------------
   1 |  1
   2 |  2  -2
   3 | -1   2  -1
   4 |  3  -1   3  -1
   5 |  2   2  -3   2  -3
   6 | -2  -4  -2   2   4   2
   7 |  2   2   2   2  -5   2  -5
   8 |  4   0   4   0   4   0   4   0
   9 | -3   3  -3  -3   3  -3  -3   3  -3
  10 |  4  -4  -6  -4  -6  -4   4   6   4   6
  11 |  2   2   2   2   2   2   2   2  -9   2   -9
  12 | -3  -2  -3   1   6   1  -3  -2  -3   1    6   1
  13 |  2   2   2   2   2   2   2   2   2   2  -11   2  -11
		

Crossrefs

Row sums are A298825.

Cf. A298674.

Programs

Mathematica

Transpose[UpperTriangularize[A298674]]

Formula

T(n,k) = A298674(k,n), n <= k.