A130161 A054525 * A036989 as a diagonalized matrix.

1, -1, 2, -1, 0, 1, 0, -2, 0, 3, -1, 0, 0, 0, 1, 1, -2, -1, 0, 0, 2, -1, 0, 0, 0, 0, 0, 2, 0, 0, 0, -3, 0, 0, 0, 4, 0, 0, -1, 0, 0, 0, 0, 0, 1, 1, -2, 0, 0, -1, 0, 0, 0, 0, 2

Offset: 0

Author

Gary W. Adamson, May 13 2007

Keywords

• tabl
• sign

Comments

Left border = mu(n), A008683.

Right border = A036989, (1, 2, 1, 3, 1, 2, 2, 4, 1, 2, ...) = the inverse Moebius transform (A051731) of the Thue-Morse sequence, offset 1: (1, 1, 0, 1, 0, 0, 1, ...).

Row sums = the Thue-Morse sequence starting with "1".

Examples

			First few rows of the triangle:
   1;
  -1,  2;
  -1,  0,  1;
   0, -2,  0,  3;
  -1,  0,  0,  0,  1;
   1, -2, -1,  0,  0,  2;
  -1,  0,  0,  0,  0,  0,  2;
  ...
		

Crossrefs

Cf. A036989, A051731, A054525, A010060, A008683.

Formula

Moebius transform of an infinite lower triangular matrix with A036989 in the main diagonal and the rest zeros.