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 A152904 Triangle read by rows: T(n,k) = A008683(n-k+1); 1<=k<=n; mu(n) "decrescendo". 1
 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 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Row sums = A002321, the Mertens function. A185694 is an eigensequence. REFERENCES E. Deutsch, L. Ferrari, and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005), 101-122. LINKS FORMULA Triangle read by rows, T(n,k) = A008683(n-k+1) = A008683 in every column = A008683 "decrescendo"d by rows. EXAMPLE 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] CROSSREFS Cf. A008683, A002321, A152901, A152902 Sequence in context: A070950 A071031 A141679 * A071033 A118102 A089509 Adjacent sequences:  A152901 A152902 A152903 * A152905 A152906 A152907 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Dec 14 2008 STATUS approved

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