A158945 Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.

1, 0, 1, 2, 0, 1, 0, 2, 0, 3, 3, 0, 2, 0, 5, 0, 3, 0, 6, 0, 10, 4, 0, 3, 0, 10, 0, 19, 0, 4, 0, 9, 0, 20, 0, 36, 5, 0, 4, 0, 15, 0, 38, 0, 69, 0, 5, 0, 12, 0, 30, 0, 72, 0, 131, 6, 0, 5, 0, 20, 0, 57, 0, 138, 0, 250, 0, 6, 0, 15, 0, 40, 0, 108, 0, 262, 0, 476

Offset: 1

Author

Gary W. Adamson, Mar 31 2009

Keywords

• nonn
• tabl

Comments

As a property of eigentriangles, sum of n-th row terms = rightmost term of next row. Right border = A158943 prefaced with a 1: (1, 1, 1, 3, 5, 10, 19, 36, 69, ...).

Examples

			First few rows of the triangle:
  1;
  0, 1;
  2, 0, 1;
  0, 2, 0,  3;
  3, 0, 2,  0,  5;
  0, 3, 0,  6,  0, 10;
  4, 0, 3,  0, 10,  0, 19;
  0, 4, 0,  9,  0, 20,  0,  36;
  5, 0, 4,  0, 15,  0, 38,   0,  69;
  0, 5, 0, 12,  0, 30,  0,  72,   0, 131;
  6, 0, 5,  0, 20,  0, 57,   0, 138,   0, 250;
  0, 6, 0, 15,  0, 40,  0, 108,   0, 262,   0, 476;
  7, 0, 6,  0, 25,  0, 76,   0, 207,   0, 500,   0, 907;
  ...
Row 5 = (3, 0, 2, 0, 5) = termwise products of (3, 0, 2, 0, 1) and (1, 1, 1, 3, 5); where (3, 0, 2, 0, 1) = row 5 of triangle A158944.
		

Crossrefs

Cf. A158943, A158944.

Formula

Triangle read by rows, A158944 * an infinite matrix with A158943 (prefaced with a 1) as the right border: (1, 1, 1, 3, 5, 10, 19, 36, ...) and the rest zeros.