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A130094
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A051731 * an infinite lower triangular matrix with A007427 in the mail diagonal.
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0
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1, 1, -2, 1, 0, -2, 1, -2, 0, 1, 1, 0, 0, 0, -2, 1, -2, -2, 0, 0, 4, 1, 0, 0, 0, 0, 0, -2, 1, -2, 0, 1, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 1, -2, 0, 0, -2, 0, 0, 0, 0, 4
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,3
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COMMENTS
| Right border = A007427. Row sums = mu(n), A008683. Nonzero terms by rows are substituted for the factors of n such that row sums = mu(n). Example: for row 6 we map (1, -2, -2, 0, 4), sum = 1; since the factors of 6 are 1, 2, 3 and 6.
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FORMULA
| Inverse Moebius transform of a triangular matrix with A007427 in the main diagonal and the rest zeros.
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EXAMPLE
| First few rows of the triangle are:
1;
1, -2;
1, 0, -2;
1, -2, 0, 1;
1, 0, 0, 0, -2;
1, -2, -2, 0, 0, 4;
1, 0, 0, 0, 0, 0, -2;
1, -2, 0, 1, 0, 0, 0, 0;
1, 0, -2, 0, 0, 0, 0, 0, 1;
...
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CROSSREFS
| Cf. A007427, A051731, A008683.
Sequence in context: A033780 A035210 A029295 * A130210 A190427 A035443
Adjacent sequences: A130091 A130092 A130093 * A130095 A130096 A130097
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KEYWORD
| tabl,sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), May 06 2007
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