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A084887
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Triangular array, read by rows: T(n,k) = denominator of arithmetic derivative of k/n, 1<=k<=n.
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3
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1, 4, 1, 9, 9, 1, 4, 4, 2, 1, 25, 25, 25, 25, 1, 36, 9, 4, 9, 36, 1, 49, 49, 49, 49, 49, 49, 1, 16, 4, 16, 4, 16, 2, 16, 1, 27, 27, 9, 27, 27, 9, 27, 27, 1, 100, 25, 100, 25, 4, 25, 100, 25, 100, 1, 121, 121, 121, 121, 121, 121, 121, 121, 121, 121, 1, 9, 36, 4, 9, 36, 4, 36
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,2
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COMMENTS
| Arithmetic derivative of k/n = (n*A003415(k)-k*A003415(n))/n^2;
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LINKS
| Eric Weisstein's World of Mathematics, Quotient Rule.
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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.
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CROSSREFS
| Numerator=A084886, A084885.
Sequence in context: A010644 A137615 A021990 * A067015 A158199 A091885
Adjacent sequences: A084884 A084885 A084886 * A084888 A084889 A084890
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KEYWORD
| nonn,tabl
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AUTHOR
| Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2003
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