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A054527
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Triangle read by rows: T(n,k) = Moebius mu(k) (n >= 1, 1<=k<=n).
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0
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1, 1, -1, 1, -1, -1, 1, -1, -1, 0, 1, -1, -1, 0, -1, 1, -1, -1, 0, -1, 1, 1, -1, -1, 0, -1, 1, -1, 1, -1, -1, 0, -1, 1, -1, 0, 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, 1, -1, -1, 0, -1, 1, -1, 0, 0, 1, -1, 0, -1, 1, -1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Row sums = Mertens sequence = A002321; right border = mu(n) = A008683. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 17 2007
M * Q as infinite lower triangular matrices; M = (1; 1, 1; 1, 1, 1;...); Q = mu(n) in the main diagonal and the rest zeros. - Gary W. Adamson (qntmpkt(AT)yahoo.com), Jan 17 2007
Terms in rows of this table appears to be the values of the minors in the first expansion of the determinant of the Redheffer matrix. [From Mats Granvik (mgranvik(AT)abo.fi), Aug 24 2008]
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EXAMPLE
| First few rows of the triangle are;
1;
1, -1;
1, -1, -1;
1, -1, -1, 0;
1, -1, -1, 0, -1;
1, -1, -1, 0, -1, 1;
...
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CROSSREFS
| Cf. A008683, A002321, A054521.
Sequence in context: A166280 A070887 A110242 * A137794 A105586 A136522
Adjacent sequences: A054524 A054525 A054526 * A054528 A054529 A054530
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KEYWORD
| sign,tabl
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), Apr 09 2000
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EXTENSIONS
| Edited by N. J. A. Sloane (njas(AT)research.att.com), Jul 03 2008 at the suggestion of R. J. Mathar
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