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Search: id:A143864
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| A143864 |
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Eigentriangle of A055461 (square subsequences decrescendo). |
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+0
1
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| 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
(list; table; graph; listen)
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OFFSET
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1,2
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COMMENT
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Row sums A033453: (1, 5, 18, 63, 221, 776, 2725,...); the shifted right border. Sum of row n terms = rightmost term of next row.
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FORMULA
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A055461 (squares descrecendo 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.
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EXAMPLE
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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).
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CROSSREFS
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A055461, Cf. A033453
Sequence in context: A055461 A104796 A132020 this_sequence A073364 A125165 A065489
Adjacent sequences: A143861 A143862 A143863 this_sequence A143865 A143866 A143867
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KEYWORD
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nonn,tabl
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Sep 04 2008
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