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A152904
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Triangle read by rows: T(n,k) = A008683(n-k+1); 1<=k<=n; mu(n) "decrescendo".
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1
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1, -1, 1, -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, 1, 0, 0, -1, 1, -1, 0, -1, -1, 1, -1, 1, 0, 0, -1, 1, -1, 0, -1, -1, 1
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OFFSET
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1,1
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COMMENTS
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Row sums = A002321, the Mertens function. A185694 is an eigensequence.
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REFERENCES
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E. Deutsch, L. Ferrari, and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005), 101-122.
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LINKS
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Table of n, a(n) for n=1..66.
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FORMULA
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Triangle read by rows, T(n,k) = A008683(n-k+1) = A008683 in every column = A008683 "decrescendo"d by rows.
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EXAMPLE
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1;
-1, 1;
-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;
...
Production matrix begins
-1, 1,
-2, 0, 1,
-3, 0, 0, 1,
-6, 0, 0, 0, 1,
-9, 0, 0, 0, 0, 1,
-17, 0, 0, 0, 0, 0, 1,
-28, 0, 0, 0, 0, 0, 0, 1,
-50, 0, 0, 0, 0, 0, 0, 0, 1,
-83, 0, 0, 0, 0, 0, 0, 0, 0, 1,
-147, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1 ...
where first column is -A073776(n+1). [Paul Barry, 10 Feb 2011]
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CROSSREFS
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Cf. A008683, A002321, A152901, A152902
Sequence in context: A070950 A071031 A141679 * A071033 A118102 A089509
Adjacent sequences: A152901 A152902 A152903 * A152905 A152906 A152907
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KEYWORD
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tabl,sign
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AUTHOR
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Gary W. Adamson, Dec 14 2008
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STATUS
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approved
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