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Search: id:A143442
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| 1, 2, -2, 3, -3, -3, 4, -4, -4, 0, 5, -5, -5, 0, -5, 6, -6, -6, 0, -6, 6, 7, -7, -7, 0, -7, 7, -7, 8, -8, -8, 0, -8, 8, -8, 0, 9, -9, -9, 0, -9, 9, -9, 0, 0, 10, -10, -10, 0, -10, 10, -10, 0, 0, 10, 11, -11, -11, 0, -11, 11, -11, 0, 0, 11, -11
(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 = A143443, n * (A002321, the Mertens function) = (1, 0, -3, -4, -10, -6,...).
Right border = n*mu(n).
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FORMULA
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Triangle read by rows, A127648 * A000012 * A128407, 1<=k<=n; where A127648 = an infinite lower triangular matrix with (1, 2, 3,...) in the main diagonal the rest zeros. A128407 = diagonalized mu(n) matrix.
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EXAMPLE
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First few rows of the triangle =
1;
2, -2;
3, -3, -3;
4, -4, -4, 0;
5, -5, -5, 0, -5;
6, -6, -6, 0, -6, 6;
7, -7, -7, 0, -7, 7, -7;
...
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CROSSREFS
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Cf. A128407, A127648, A008683, A002321, A143443.
Sequence in context: A072644 A070082 A085727 this_sequence A137300 A095791 A036042
Adjacent sequences: A143439 A143440 A143441 this_sequence A143443 A143444 A143445
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 15 2008
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