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 A084886 Triangular array, read by rows: T(n,k) = numerator of arithmetic derivative of k/n, 1<=k<=n. 3
 0, -1, 0, -1, 1, 0, -1, -1, -1, 0, -1, 3, 2, 16, 0, -5, -1, -1, 1, -19, 0, -1, 5, 4, 24, 2, 29, 0, -3, -1, -7, -1, -13, -1, -19, 0, -2, -1, -1, 4, -7, 1, -11, 20, 0, -7, -1, -11, 3, -1, 2, -39, 16, -3, 0, -1, 9, 8, 40, 6, 49, 4, 124, 57, 67, 0, -1, -5, -1, -1, -17, -1 (list; table; graph; refs; listen; history; text; internal format)
 OFFSET 1,12 COMMENTS Arithmetic derivative of k/n = (n*A003415(k)-k*A003415(n))/n^2; LINKS Eric Weisstein's World of Mathematics, Quotient Rule. EXAMPLE ............................. 0 ....................... -1/4 ..... 0 ................ -1/9 ...... 1/9 ...... 0 .... ...... -1/4 ..... -1/4 .... -1/2 ...... 0 .. .. -1/25 .... 3/25 ..... 2/25 ..... 16/25 .... 0 -5/36 ..... -1/9 ..... -1/4 ..... 1/9 .... -19/36 .... 0. CROSSREFS Denominator=A084887, A084884, A084890. Sequence in context: A190961 A126323 A292123 * A275463 A304989 A055864 Adjacent sequences:  A084883 A084884 A084885 * A084887 A084888 A084889 KEYWORD sign,tabl AUTHOR Reinhard Zumkeller, Jun 10 2003 STATUS approved

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Last modified August 21 22:32 EDT 2019. Contains 326169 sequences. (Running on oeis4.)