A168315 Triangle read by rows, A168313 * the diagonalized variant of its eigensequence, A168314.

1, 0, 1, 0, 2, 1, 0, 0, 2, 3, 0, 0, 2, 6, 5, 0, 0, 0, 6, 10, 13, 0, 0, 0, 6, 10, 26, 29, 0, 0, 0, 0, 10, 26, 58, 71, 0, 0, 0, 0, 10, 26, 58, 142, 165, 0, 0, 0, 0, 0, 26, 58, 142, 330, 401, 0, 0, 0, 0, 0, 26, 58, 142, 330, 802, 957

Offset: 1

Author

Gary W. Adamson, Nov 22 2009

Keywords

• nonn
• tabl

Comments

Row sums = A168314: (1, 1, 3, 5, 13, 29, 71, 165, 401, 957,...).

Rightmost column = A168314 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, 0, 2, 3;
0, 0, 2, 6, 5;
0, 0, 0, 6, 10, 13;
0, 0, 0, 6, 10, 26, 29;
0, 0, 0, 6, 10, 26, 58, 71;
0, 0, 0, 0, 10, 26, 58, 142, 165;
0, 0, 0, 0, 0, 26, 58, 142, 330, 401;
0, 0, 0, 0, 0, 26, 58, 142, 330, 802, 957;
0, 0, 0, 0, 0, 0, 58, 142, 330, 802, 1914, 2315;
0, 0, 0, 0, 0, 0, 58, 142, 330, 802, 1914, 4630, 5561;
...
		

Crossrefs

Cf. A168313, A168314

Formula

Let M = triangle A168313 and Q = in an infinite lower triangular matrix with

A168314 prefaced with a 1 as the rightmost diagonal with the rest of terms 0's.

Triangle A168315 = M*Q.