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A133938
A007318 * (A129686 + A133080 - I), where I is the identity matrix.
1
1, 2, 1, 4, 2, 1, 7, 4, 4, 1, 11, 8, 11, 4, 1, 16, 15, 25, 11, 6, 1, 22, 26, 50, 26, 22, 6, 1, 29, 42, 91, 56, 63, 22, 8, 1, 37, 64, 154, 112, 154, 64, 37, 8, 1, 46, 93, 24, 210, 336, 162, 129, 37, 10, 1
OFFSET
1,2
COMMENTS
Left column = A000124: (1, 2, 4, 7, 11, ...).
Row sums = A133124: (1, 3, 7, 16, 35, 74, ...).
FORMULA
Binomial transform of matrix M, where M = a tridiagonal matrix with (1,1,1,...) in the main diagonal, (1,0,1,0,...) in the subdiagonal and (1,1,1,...) in the subsubdiagonal. M = (A129686 + A133080 - I), I = Identity matrix.
EXAMPLE
First few rows of the triangle:
1;
2, 1;
4, 2, 1;
7, 4, 4, 1;
11, 8, 11, 4, 1;
16, 15, 25, 11, 6, 1;
22, 26, 50, 26, 22, 6, 1;
...
CROSSREFS
KEYWORD
nonn,tabl,more
AUTHOR
Gary W. Adamson, Sep 29 2007
STATUS
approved