A143806 Eigentriangle of A130534.

1, 1, 1, 2, 3, 2, 6, 11, 12, 7, 24, 50, 70, 70, 36, 120, 274, 450, 595, 540, 250, 720, 1764, 3248, 5145, 6300, 5250, 2229

Offset: 0

Author

Gary W. Adamson, Sep 01 2008

Keywords

• nonn
• tabl
• more

Comments

Right border = A143805 (1, 1, 2, 7, 36, 250,...) = row sums shifted one place to the left, = (1, 2, 7, 36, 250,...). Sum of n-th row terms = rightmost term of next row.

A130534 = the Stirling cycle numbers:

1;

1, 1;

2, 3, 1;

6, 11, 6, 1;

...

The triangle by rows, applies termwise products of the eigensequence terms of A130534: (1, 1, 2, 7, 36, 250,...) = A143805; to row terms of A130534. Thus row 3 = (6, 11, 12, 7) = (6, 11, 6, 1) and termwise product of the first 4 terms of A143805: (1, 1, 2, 7).

Examples

			First few rows of the triangle:
  1;
  1, 1;
  2, 3, 2;
  6, 11, 12, 7;
  24, 50, 70, 70, 36;
  120, 274, 450, 595, 540, 250;
  720, 1764, 3248, 5145, 6300, 5250, 2229;
  ...
		

Crossrefs

Cf. A130534, A143805.

Formula

Triangle read by rows, A130534 * (A143805 * 0^(n-k)); 0<=k<=n.