|
|
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
(list;
table;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
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
|
|
|
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.
|
|
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
|
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|