A137683 Triangle read by rows, A026794 * A007318^(-1).

1, 0, 1, 3, -2, 1, 1, 4, -3, 1, 5, -3, 6, -4, 1, 5, 5, -9, 10, -5, 1, 11, -6, 16, -20, 15, -6, 1, 10, 12, -23, 36, -35, 21, -7, 1, 20, -5, 27, -55, 70, -56, 28, -8, 1, 24, 11, -31, 81, -125, 126, -84, 36, -9, 1, 38, -9, 51, -123, 211, -252, 210, -120, 45, -10, 1

Offset: 0

Author

Gary W. Adamson, Feb 05 2008

Keywords

• tabl
• sign

Comments

Row sums = the partition numbers, A000041: (1, 1, 2, 3, 5, 7, 11, 15, 22, ...).

Examples

			First few rows of the triangle:
  1;
  0,  1;
  3, -2,  1;
  1,  4, -3,  1;
  5, -3,  6, -4,  1;
  5,  5, -9, 10, -5, 1;
  ...
T(3,1) = -3 = (0, 0, 1, -3) dot (3, 1, 0, 1) = (0, 0, 0, -3).
		

Crossrefs

Cf. A000041, A026794.

Formula

As an infinite lower triangular matrix, A026794 * the inverse of Pascal's triangle.