A167366 Triangle read by rows, 2*A047999 - A097806 (signed) = twice Sierpinski's gasket - the signed pair sum operator.

1, 3, 1, 2, 1, 1, 2, 2, 3, 1, 2, 0, 0, 1, 1, 2, 2, 0, 0, 3, 1, 2, 0, 2, 0, 2, 1, 1, 2, 2, 2, 2, 2, 2, 3, 1, 2, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 0, 0, 0, 0, 0, 0, 3, 1, 2, 0, 2, 0, 0, 0, 0, 0, 2, 1, 1, 2, 2, 2, 2, 0, 0, 0, 0, 2, 2, 3, 1, 2, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 1, 1

Offset: 0

Author

Gary W. Adamson & Mats Granvik, Nov 01 2009

Keywords

• nonn
• tabl

Comments

Row sums = A167275: (1, 4, 4, 8, 4, 8, 8, 16,...).

Examples

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

Crossrefs

Cf. A047999, A097806

Formula

Triangle read by rows, 2*A047999 - A096806, the pair sum operator.

A096806 is signed, rightmost diagonal = (+,+,+,...); adjacent diagonal is

signed (-,-,-,...).