

A168318


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


2



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
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OFFSET

1,5


COMMENTS

Row sums = A168317: (1, 1, 3, 6, 16, 39, 103, 263,...).
Rightmost diagonal = A168317 prefaced with a 1.
Sum of nth 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 A114219 A119339
Adjacent sequences: A168315 A168316 A168317 * A168319 A168320 A168321


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Nov 22 2009


STATUS

approved



