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

1,5

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.

Links

Table of n, a(n) for n=1..66.

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.

Example

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

Sequence in context: A373122 A373923 A191400 * A120730 A122851 A064301

Adjacent sequences: A168312 A168313 A168314 * A168316 A168317 A168318

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 22 2009

Status

approved