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A144019
Eigentriangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k).
0
1, 2, 1, 5, 2, 3, 12, 5, 6, 10, 29, 12, 15, 20, 33, 70, 29, 36, 50, 66, 109, 169, 70, 87, 120, 165, 218, 360, 408, 169, 210, 290, 396, 545, 720, 1189, 985, 408, 507, 700, 957, 1308, 1800, 2378, 3927
OFFSET
1,2
COMMENTS
Row sums = A006190: (1, 3, 10, 33, 109,...)
Left border = Pell series, A000129.
Right border = A006190 shifted.
FORMULA
Triangle read by rows, T(n,k) = A000129(n-k+1)*A006190(k), with A006190 one place to the right, = (1, 1, 3, 10, 33, 109,...).
EXAMPLE
First few rows of the triangle:
1;
2, 1;
5, 2, 3;
12, 5, 6, 10;
29, 12, 15, 20, 33;
70, 29, 36, 50, 66, 109;
169, 70, 87, 120, 165, 218, 360;
...
Row 4 = (12, 5, 6, 10) = termwise product of (12, 5, 2, 1) and (1, 1, 3, 10) = (12*1, 5*1, 2*3, 1*10).
CROSSREFS
Sequence in context: A127156 A205106 A351743 * A085045 A093664 A298212
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 07 2008
STATUS
approved