A168312 Triangle read by rows, replace 1's of triangle A115361 starting from the right with (1, 2, 4, 8, ...).

1, 2, 1, 0, 0, 1, 4, 2, 0, 1, 0, 0, 0, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 8, 4, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 4, 0, 2, 0, 0, 0, 0, 0, 1

Offset: 1

Author

Gary W. Adamson, Nov 22 2009

Keywords

• nonn
• tabf

Comments

Row sums = A038712: (1, 3, 1, 7, 1, 3, 1, 15, ...).

Examples

			First few rows of the triangle:
   1;
   2, 1;
   0, 0, 1;
   4, 2, 0, 1;
   0, 0, 0, 0, 1;
   0, 0, 2, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 1;
   8, 4, 0, 2, 0, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 0, 0, 1;
   0, 0, 0, 0, 2, 0, 0, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
   0, 0, 4, 0, 0, 2, 0, 0, 0, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
  16, 8, 0, 4, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 1;
   0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1;
  ...
		

Crossrefs

Cf. A115361, A038712.

Formula

Triangle read by rows, replace 1's in triangle A115361 starting from the right with (1, 2, 4, 8, ...).