A168318 Triangle read by rows, A168316 * its diagonalized eigensequence, A168317.

1, 0, 1, 0, 2, 1, 0, 1, 2, 3, 0, 1, 3, 6, 6, 0, 0, 2, 9, 12, 16, 0, 0, 2, 12, 18, 32, 39, 0, 0, 1, 9, 24, 48, 78, 103, 0, 0, 1, 9, 30, 64, 117, 206, 263, 0, 0, 0, 6, 24, 80, 156, 309, 526, 690, 0, 0, 0, 6, 24, 96, 195, 412, 789, 1380, 1791

Offset: 1

Author

Gary W. Adamson, Nov 22 2009

Keywords

• nonn
• tabl

Comments

Row sums = A168317: (1, 1, 3, 6, 16, 39, 103, 263,...).

Rightmost diagonal = A168317 prefaced with a 1.

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

Examples

			First few rows of the triangle =
1;
0, 1;
0, 2, 1;
0, 1, 2, 3;
0, 1, 3, 6, 6;
0, 0, 2, 9, 12, 16;
0, 0, 2, 12, 18, 32, 39;
0, 0, 1, 9, 24, 48, 78, 103;
0, 0, 1, 9, 30, 64, 117, 206, 263;
0, 0, 0, 6, 24, 80, 156, 309, 526, 690;
0, 0, 0, 6, 24, 96, 195, 412, 789, 1380, 1791;
0, 0, 0, 3, 18, 80, 234, 515, 1052, 2070, 3582, 4693;
0, 0, 0, 3, 18, 80, 273, 618, 1315, 2760, 5373, 9386, 12247;
0, 0, 0, 0, 12, 64, 234, 721, 1578, 3450, 7164, 14079, 24494, 32073;
...
		

Crossrefs

Cf. A168316, A168317

Formula

Triangle read by rows, M*Q. M = A168316, Q = an infinite lower triangular matrix

with A168317 prefaced with a 1; (1, 1, 1, 3, 6, 16, 39, 103,...) as the right

diagonal and the rest zeros.