A167274 Triangle read by rows, = 2*A047999 - A047999^(-1); = twice Sierpinski's gasket minus the inverse of Sierpinski's gasket.

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

Offset: 0

Author

Gary W. Adamson & Mats Granvik, Oct 31 2009

Keywords

• nonn
• tabl

Comments

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

Examples

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

Crossrefs

Cf. A047999, A167275

Formula

Let Sierpinski's gasket, A047999 = S; as an infinite lower triangular matrix.

A167274 = 2*S - 1/S.