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A128407
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A mu(n) transform, diagonalized matrix.
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20
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1, 0, -1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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
| 1,1
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COMMENTS
| Row sums = mu(n), A008683:(1, -1, -1, 0, -1, 1, -1,...). A128407 * [1,2,3...] = n*mu(n), A055615: (1, -2, -3, 0, -5, 6, -7, 0,...). A051731 * A128407 = A054524. A128407 * A051731 = A128408.
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FORMULA
| Infinite lower triangular matrix with mu(n), A008683, as the right border and the rest zeros.
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EXAMPLE
| First few rows of the triangle are:
1;
0, -1;
0, 0, -1;
0, 0, 0, 0;
0, 0, 0, 0, -1;
0, 0, 0, 0, 0, 1;
0, 0, 0, 0, 0, 0, -1;
...
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CROSSREFS
| Cf. A051731, A128408, A008683, A054524.
Sequence in context: A185276 A074381 A179560 * A134286 A023531 A089495
Adjacent sequences: A128404 A128405 A128406 * A128408 A128409 A128410
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KEYWORD
| tabl,sign
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AUTHOR
| Gary W. Adamson (qntmpkt(AT)yahoo.com), Mar 01 2007
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