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 A143255 Triangle read by rows, A128407 * A126988; 1<=k<=n. 1
 1, -2, -1, -3, 0, -1, 0, 0, 0, 0, -5, 0, 0, 0, -1, 6, 3, 2, 0, 0, 1, -7, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 5, 0, 0, 2, 0, 0, 0, 0, 1, -11, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -13, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 14, 7, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS Left border = A055615: (1, -2, -3, 0, -5, 6, -7,...). Right border = A008683, mu(n). Row sums = A063441: (1, -3, -4, 0, -6, 12, 8,...). LINKS FORMULA Triangle read by rows, A128407 * A126988; 1<=k<=n t(n,m)=MoebiusMu[n]*A126988(n,m); t(n,m)=MoebiusMu[n]*If[m == 1, n, If[Mod[n, m] == 0, n/m, 0]]. - Roger L. Bagula, Sep 06 2008 EXAMPLE First few rows of the triangle = 1; -2, -1; -3, 0, -1; 0, 0, 0, 0; -5, 0, 0, 0, -1; 6, 3, 2, 0, 0, 1; -7, 0, 0, 0, 0, 0, -1; 0, 0, 0, 0, 0, 0, 0, 0; 0, 0, 0, 0, 0, 0, 0, 0, 0; 10, 5, 0, 0, 2, 0, 0, 0, 0, 1; ... MATHEMATICA t[n_, m_] = MoebiusMu[n]*If[m == 1, n, If[Mod[n, m] == 0, n/m, 0]]; Table[Table[t[n, m], {m, 1, n}], {n, 1, 10}]; Flatten[%] - Roger L. Bagula, Sep 06 2008 CROSSREFS Cf. A008683, A063441, A055615, A128407, A126988. Cf. A128988. Sequence in context: A202034 A323881 A062963 * A127139 A309103 A166139 Adjacent sequences:  A143252 A143253 A143254 * A143256 A143257 A143258 KEYWORD tabl,sign AUTHOR Gary W. Adamson, Aug 02 2008 STATUS approved

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Last modified October 21 16:50 EDT 2019. Contains 328302 sequences. (Running on oeis4.)