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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 LINKS E. Deutsch, L. Ferrari and S. Rinaldi, Production Matrices, Advances in Applied Mathematics, 34 (2005) pp. 101-122. FORMULA Triangle read by rows, T(n,k) = A008683(n-k+1) = A008683 in every column = A008683 "decrescendo"d by rows. EXAMPLE Triangle begins    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, Feb 10 2011 CROSSREFS Cf. A008683, A002321, A073776, A152901, A152902. Row sums = A002321, the Mertens function. A185694 is an eigensequence. Sequence in context: A276254 A303300 A249865 * A249133 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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Last modified July 25 19:05 EDT 2021. Contains 346291 sequences. (Running on oeis4.)