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A133804
Triangle read by rows: A007318 * A133080 * A133566.
1
1, 2, 1, 3, 3, 1, 4, 7, 4, 1, 5, 14, 10, 5, 1, 6, 25, 20, 16, 6, 1, 7, 41, 35, 41, 21, 7, 1, 8, 63, 56, 91, 56, 29, 8, 1, 9, 92, 84, 182, 126, 92, 36, 9, 1, 10, 129, 120, 336, 252, 246, 120, 46, 10, 1, 11, 175, 165, 582, 462, 582, 330, 175, 55, 11, 1, 12, 231, 220, 957, 792, 1254, 792, 550, 220, 67, 12, 1
OFFSET
1,2
COMMENTS
Row sums = A133124: (1, 3, 7, 16, 35, 74, 153, ...).
A133805 = binomial transform of (A133566 * A133080).
FORMULA
Binomial transform of (A133080 * A133566), where A133080 * A133566 = an infinite lower triangular matrix with (1,1,1,...) in the main and subdiagonals and (0,1,0,1,0,...) in the subsubdiagonal.
EXAMPLE
First few rows of the triangle:
1;
2, 1;
3, 3, 1;
4, 7, 4, 1;
5, 14, 10, 5, 1;
6, 25, 20, 16, 6, 1;
7, 41, 35, 41, 21, 7, 1;
...
CROSSREFS
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 23 2007
EXTENSIONS
a(21) = 1 inserted and more terms from Georg Fischer, Jun 08 2023
STATUS
approved