A167364 Triangle read by rows, A047999 * A010060 (diagonalized); as infinite lower triangular matrices.

1, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 1, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0

Offset: 1

Author

Gary W. Adamson & Mats Granvik, Nov 01 2009

Keywords

• nonn
• tabl

Comments

Row sums = A048896: (1, 1, 2, 1, 2, 2, 4, 1, 2, 2, 4,...). Right border = Thue-Morse sequence A010060, starting with offset 1.

Examples

			First few rows of the triangle =
1;
0, 1;
1, 1, 0;
0, 0, 0, 1;
1, 0, 0, 1, 0;
0, 1, 0, 1, 0, 0;
1, 1, 0, 1, 0, 0, 1;
0, 0, 0, 0, 0, 0, 0, 1;
1, 0, 0, 0, 0, 0, 0, 1, 0;
0, 1, 0, 0, 0, 0, 0, 1, 0, 0;
1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1;
0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0
1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1;
0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1;
1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 0;
0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1
1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0;
0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0;
1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1;
...
		

Crossrefs

Cf. A047999, A010060.

Formula

Let S = Sierpinski's gasket, A047999. Let Q = a diagonalized version of the Thue-Morse sequence, A010060: [0; 0,1; 0,0,1; 0,0,0,0; 0,0,0,0,1;...], (i.e. A010060 as the rightmost diagonal and the rest zeros). A167364 = S * Q, as infinite lower triangular matrices. Delete leftmost column of zeros.