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A143864
Eigentriangle of A055461 (square subsequences decrescendo).
0
1, 4, 1, 9, 4, 5, 16, 9, 20, 18, 25, 16, 45, 72, 63, 36, 25, 80, 162, 252, 221, 49, 36, 125, 288, 567, 884, 776, 64, 49, 180, 450, 1008, 1989, 3104, 2725, 81, 64, 245, 648, 1575, 3536, 6984, 10900, 9569
OFFSET
1,2
COMMENTS
Row sums A033453: (1, 5, 18, 63, 221, 776, 2725,...); the shifted right border. Sum of row n terms = rightmost term of next row.
FORMULA
A055461 (squares decrescendo triangle) * (A033453 * 0^(n-k)); 1<=k<=1; where (A033453 * 0^(n-k)) = an infinite lower triangular matrix with the INVERT transform of the squares as the main diagonal, starting: (1, 1, 5, 18, 63, 221, 776,...) and the rest zeros.
EXAMPLE
First few rows of the triangle =
1;
4, 1;
9, 4, 5;
16, 9, 20, 18;
25, 16, 45, 72, 63;
36, 25, 80, 162, 252, 221;
49, 36, 125, 288, 567, 884, 776;
...
Row 3 = (9, 4, 5) = termwise product of (9, 4, 1) and (1, 1, 5) (9*1, 4*1, 1*5).
CROSSREFS
Sequence in context: A104796 A132020 A175643 * A296483 A073364 A125165
KEYWORD
nonn,tabl
AUTHOR
Gary W. Adamson, Sep 04 2008
STATUS
approved