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

1,5

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.

Links

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

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.

Example

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

Sequence in context: A275946 A287824 A065364 * A174203 A353642 A308151

Adjacent sequences: A168315 A168316 A168317 * A168319 A168320 A168321

Keyword

nonn,tabl

Author

Gary W. Adamson, Nov 22 2009

Status

approved