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A133807
A007318 * (A097806 + A133566 - I), where I is the identity matrix.
0
1, 2, 1, 3, 4, 1, 4, 9, 4, 1, 5, 16, 10, 6, 1, 6, 25, 20, 20, 6, 1, 7, 36, 35, 50, 21, 8, 1, 8, 49, 56, 105, 56, 35, 8, 1, 9, 64, 84, 196, 126, 112, 36, 10, 1, 10, 81, 120, 336, 252, 294, 120, 54, 10, 1
OFFSET
1,2
COMMENTS
Row sums = A133806: (1, 3, 8, 18, 38, 78, 158, ...).
FORMULA
Binomial transform of matrix M, where M = (A097806 + A133566 - I) = triangle with (1,1,1,...) in the main diagonal, (1,2,1,2,1,...) in the subdiagonal and the rest zeros. I = Identity matrix.
EXAMPLE
First few rows of the triangle:
1;
2, 1;
3, 4, 1;
4, 9, 4, 1;
5, 16, 10, 6, 1;
6, 25, 20, 20, 6, 1;
7, 36, 35, 50, 21, 8, 1;
...
CROSSREFS
KEYWORD
nonn,tabl,more
AUTHOR
Gary W. Adamson, Sep 23 2007
STATUS
approved