A152229 Eigentriangle, row sums = A000984.

1, 1, 1, 3, 1, 2, 9, 3, 2, 6, 29, 9, 6, 6, 20, 97, 29, 18, 18, 20, 70, 333, 97, 58, 54, 60, 70, 252, 1165, 333, 194, 174, 180, 210, 252, 924, 4135, 1165, 666, 582, 580, 630, 756, 924, 3432, 14845, 4135, 2330, 1998, 1940, 2030, 2268, 2772, 3432, 12870

Offset: 0

Author

Gary W. Adamson, Nov 29 2008

Keywords

• nonn
• tabl

Comments

Row sums = A000984: (1, 2, 6, 20, 70, 252,...), left border = A081696.

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

Examples

			First few rows of the triangle =
1;
1, 1;
3, 1, 2;
9, 3, 2, 6;
29, 9, 6, 6, 20;
97, 29, 18, 18, 20, 70;
333, 97, 58, 54, 60, 70, 252;
1165, 333, 194, 174, 180, 210, 252, 924;
4135, 1165, 666, 582, 580, 630, 756, 924, 3432;
14845, 4135, 2330, 1998, 1940, 2030, 2268, 2772, 3432, 12870;
...
Row 3 = (9, 3, 2, 6) = termwise products of (9, 3, 1, 1) and (1, 1, 2, 6).
		

Crossrefs

Cf. A000984, A081696.

Formula

Triangle read by rows, M*Q. M = an infinite lower triangular matrix with A081696: (1, 1, 3, 9, 29, 97, 333, 1165,...) in every column; and Q = a matrix with A000984 as the main diagonal (prefaced with a 1): (1, 1, 2, 6, 20, 70, 252,...) and the rest zeros.