A177444 Triangle by columns, (1, 1, 0, 1, 0, 0, 0, ...); shifted down twice for columns > 0.

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

Offset: 0

Author

Gary W. Adamson, May 08 2010

Keywords

• nonn
• tabl

Comments

Let the triangle = M. Limit_{n->infinity} M^n = A120562, the left-shifted vector

considered as a sequence.

Examples

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

Crossrefs

Cf. A120562, A177445.

Formula

As an infinite lower triangular matrix, (1, 1, 0, 1, 0, 0, 0, ...) in every

column, prefaced with k zeros.