A129264 Triangle read by rows: A000012 * A115361 as infinite lower triangular matrices.

1, 2, 1, 2, 1, 1, 3, 2, 1, 1, 3, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 3, 2, 2, 1, 1, 1, 1, 4, 3, 2, 2, 1, 1, 1, 1, 4, 3, 2, 2, 1, 1, 1, 1, 1, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1, 4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1

Offset: 1

Author

Gary W. Adamson, Apr 06 2007

Keywords

• nonn
• tabl

Comments

Triangle read by rows, A000012 * A115361; where A000012 = an infinite lower triangular matrix with all 1's: [1; 1,1; 1,1,1; ...] and A115361 = the ruler function triangle.

The operation A000012 * A115361 takes partial sums of A115361 column terms starting from the top. [Gary W. Adamson, Nov 27 2009]

Eigensequence of the triangle = A089067: (1, 3, 5, 13, 23, 51, 97, 207, ...). [Gary W. Adamson, Nov 27 2009]

Row sums = A005187: (1, 3, 4, 7, 8, 10, 11, 15, ...).

Left column = A070939 starting (1, 2, 2, 3, 3, 3, 3, 4, 4, 4, ...).

Examples

			First few rows of the triangle:
  1;
  2, 1;
  2, 1, 1;
  3, 2, 1, 1;
  3, 2, 1, 1, 1;
  3, 2, 2, 1, 1, 1;
  3, 2, 2, 1, 1, 1, 1;
  4, 3, 2, 2, 1, 1, 1, 1;
  4, 3, 2, 2, 1, 1, 1, 1, 1;
  4, 3, 2, 2, 2, 1, 1, 1, 1, 1;
  4, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1;
  4, 3, 3, 2, 2, 2, 1, 1, 1, 1, 1, 1;
  ...
		

Crossrefs

Cf. A000012, A005187, A070939, A089067, A115361, A129265.

Extensions

Incorrect a(79) removed by Georg Fischer, Jul 04 2023