

A168315


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


3



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
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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 nth 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: A245842 A300574 A191400 * A120730 A122851 A064301
Adjacent sequences: A168312 A168313 A168314 * A168316 A168317 A168318


KEYWORD

nonn,tabl


AUTHOR

Gary W. Adamson, Nov 22 2009


STATUS

approved



