A176919 Triangle by columns: (1, 2, 3, ...) in each column interleaved with (0, 1, 2, ...) zeros. Columns > 1 shifted down twice.

1, 2, 0, 3, 1, 0, 4, 0, 0, 0, 5, 2, 1, 0, 0, 6, 0, 0, 0, 0, 0, 7, 3, 0, 1, 0, 0, 0, 8, 0, 2, 0, 0, 0, 0, 0, 9, 4, 0, 0, 1, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 0, 11, 5, 3, 2, 0, 1, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0

Offset: 1

Author

Gary W. Adamson & Mats Granvik, Apr 29 2010

Keywords

• nonn
• tabl

Comments

Row sums of n-th row = A065608(n+1).

Examples

			First few rows of the triangle:
   1;
   2, 0;
   3, 1, 0;
   4, 0, 0, 0;
   5, 2, 1, 0, 0;
   6, 0, 0, 0, 0, 0;
   7, 3, 0, 1, 0, 0, 0;
   8, 0, 2, 0, 0, 0, 0, 0;
   9, 4, 0, 0, 1, 0, 0, 0, 0;
  10, 0, 0, 0, 0, 0, 0, 0, 0, 0;
  11, 5, 3, 2, 0, 1, 0, 0, 0, 0, 0;
  12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
  13, 6, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0;
  14, 0, 4, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0;
  15, 7, 0, 3, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0;
  16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
  17, 8, 5, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0;
  18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0;
  19, 9, 0, 4, 3, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0;
  ...
		

Crossrefs

Cf. A065608.

Formula

Triangle, left border = (1, 2, 3, ...). Each successive column is shifted down twice from previous column and interleaved with k zeros.