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A133544
1
1, 1, 2, 1, 4, 4, 1, 6, 12, 7, 1, 8, 24, 28, 12, 1, 10, 40, 70, 60, 13, 1, 12, 60, 140, 180, 78, 14, 1, 14, 84, 245, 420, 273, 98, 15, 1, 16, 112, 392, 840, 728, 392, 120, 16, 1, 18, 144, 588, 1512, 1638, 1176, 540, 144, 18
OFFSET
1,3
COMMENTS
Right border = A052474: (1, 2, 4, 7, 12, 13, 14, 15, 16, 18, 20, ...).
Row sums = A057153: (1, 3, 9, 26, 73, 194, 485, 1150, ...).
FORMULA
Binomial transform of A052474 as a diagonalized matrix (A052474 as the diagonal of an infinite lower triangular matrix and the rest zeros).
EXAMPLE
First few rows of the triangle:
1;
1, 2;
1, 4, 4;
1, 6, 12, 7;
1, 8, 24, 28, 12;
1, 10, 40, 70, 60, 13;
1, 12, 60, 140, 180, 78, 14;
...
CROSSREFS
Sequence in context: A136672 A097750 A304623 * A303872 A013609 A154558
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 14 2007
STATUS
approved