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1, 3, -1, 4, 0, -1, 7, -3, 0, 0, 6, 0, 0, 0, -1, 12, -4, -3, 0, 0, 1, 8, 0, 0, 0, 0, 0, -1, 15, -7, 0, 0, 0, 0, 0, 0, 13, 0, -4, 0, 0, 0, 0, 0, 0, 18, -6, 0, 0, -3, 0, 0, 0, 0, 1, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 28, -1, -7, 0, 0, 3, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Left border = sigma(n), A000203.
Right border = mu(n), A008683.
Row sums = n
It appears that T(n,k) = sum(d divides n, mu(d)*sigma(n/d) ). [Joerg Arndt, Jul 31 2011]
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FORMULA
| Triangle read by rows, A051731 * A143239, 1<=k<=n
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EXAMPLE
| First few rows of the triangle =
1;
3, -1;
4, 0, -1;
7, -3, 0, 0;
6, 0, 0, 0, -1;
12, -4, -3, 0, 0, 1;
8, 0, 0, 0, 0, 0, -1;
15, -7, 0, 0, 0, 0, 0, 0;
13, 0, -4, 0, 0, 0, 0, 0, 0;
18, -6, 0, 0, -3, 0, 0, 0, 0, 1;
...
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CROSSREFS
| Cf. A143239, A051731, A000203, A008683.
Sequence in context: A125162 A174382 A123730 * A130540 A076816 A021765
Adjacent sequences: A143314 A143315 A143316 * A143318 A143319 A143320
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KEYWORD
| tabl,sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Aug 07 2008
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