A144963 Eigentriangle, row sums = A000081 starting (1, 2, 4, 9, 20, 48, 115, ...).

1, 1, 1, 1, 1, 2, 2, 1, 2, 4, 3, 2, 2, 4, 9, 8, 3, 4, 4, 9, 20, 16, 8, 6, 8, 9, 20, 48, 41, 16, 16, 12, 18, 20, 48, 115, 98, 41, 32, 32, 27, 40, 115, 286, 250, 98, 82, 64, 72, 60, 96, 115, 286, 719

Offset: 1

Author

Gary W. Adamson, Sep 27 2008

Keywords

• eigen
• nonn
• tabl

Comments

Row sums = A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, 115, ...).

Right border = (1, 1, 2, 4, 9, 20, 48, ...).

Left border = A051573: (1, 1, 1, 2, 3, 8, 16, 41, ...).

Sum of n-th row terms = rightmost term of next row.

Examples

			First few rows of the triangle:
   1;
   1,  1;
   1,  1,  2;
   2,  1,  2,  4;
   3,  2,  2,  4,  9;
   8,  3,  4,  4,  9, 20;
  16,  8,  6,  8,  9, 20, 48;
  41, 16, 16, 12, 18, 20, 48, 115;
  98, 41, 32, 32, 27, 40, 48, 115, 286;
  ...
Row 4 = (2, 1, 2, 4) = termwise products of (2, 1, 1, 1) and (1, 1, 2, 4).
		

Formula

Eigentriangle by rows, termwise products of A000081 starting with offset 2: (1, 2, 4, 9, 20, 48, ...) and row terms of an A051573 decrescendo triangle: (1; 1,1; 1,1,1; 2,1,1,1; 3,2,1,1,1; ...) where A051573 = (1, 1, 1, 2, 3, 8, 16, 41, ...).