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 A144032 Eigentriangle read by rows, T(n,k) = A002321(n-k+1)*A144031(k-1). 1
 1, 0, 1, -1, 0, 1, -1, -1, 0, 0, -2, -1, -1, 0, -2, -1, -2, -1, 0, 0, -6, -2, -1, -2, 0, 2, 0, -10, -2, -2, -1, 0, 2, 6, 0, -13, -2, -2, -2, 0, 46, 10, 0, -10, -1, -2, -2, 0, 2, 12, 10, 13, 0, 4, -2, -1, -2, 0, 4, 6, 10, 13, 10, 0, 36, -2, -2, -1, 0, 4, 12, 10, 26, 10, -4, 0, 84, -3 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,11 COMMENTS Row sums = A144031, the INVERT transform of A002321. Left border = the Mertens's function, A002321. Right border = A144031 shifted. Sum of n-th row terms = rightmost term of (n+1)-th row. LINKS FORMULA Eigentriangle read by rows, T(n,k) = A002321(n-k+1)*A144031(k-1). EXAMPLE First few rows of the triangle = 1; 0, 1; -1, 0, 1; -1, -1, 0, 0; -2, -1, -1, 0, -2; -1, -2, -1, 0, 0, -6; -2, -1, -2, 0, 2, 0, -10; -2, -2, -1, 0, 2, 6, 0, -13; -2, -2, -2, 0, 4, 6, 10, 0, -10; ... Row 5 = = (-2, -1, -1, 0, -2) termwise products of (-2, -1, -1, 0, 1) and (1, 1, 1, 0, -2); = ((-2)*1, (-1)*(1), (-1)*(1), (0)*(0), (1)*(-2). (-2, -1, -1, 0, 1) = the first 5 terms of A002321, the Mertens's function. (1, 1, 1, 0, -2) = 5 shifted terms of A144031. CROSSREFS A002321, Cf. A144031. Sequence in context: A162642 A139146 A277487 * A137686 A143792 A230121 Adjacent sequences:  A144029 A144030 A144031 * A144033 A144034 A144035 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Sep 07 2008 STATUS approved

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Last modified September 21 07:08 EDT 2019. Contains 327253 sequences. (Running on oeis4.)