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A084885
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Triangular array, read by rows: T(n,k) = denominator of arithmetic derivative of n/k, 1<=k<=n.
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3
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1, 1, 1, 1, 4, 1, 1, 1, 9, 1, 1, 4, 9, 1, 1, 1, 1, 1, 4, 25, 1, 1, 4, 9, 2, 25, 36, 1, 1, 1, 9, 1, 25, 9, 49, 1, 1, 4, 1, 4, 25, 4, 49, 16, 1, 1, 1, 9, 4, 1, 9, 49, 1, 27, 1, 1, 4, 9, 2, 25, 36, 49, 16, 27, 100, 1, 1, 1, 1, 1, 25, 1, 49, 4, 9, 25, 121, 1
(list; table; graph; refs; listen; history; internal format)
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OFFSET
| 1,5
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COMMENTS
| Arithmetic derivative of n/k = (k*A003415(n)-n*A003415(k))/k^2;
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LINKS
| Eric Weisstein's World of Mathematics, Quotient Rule.
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EXAMPLE
| ......................... 0
................... 1 ........ 0
............... 1 .... -1/4 ....... 0
........... 4 ..... 1 ...... 8/9 ....... 0
....... 1 ... -3/4 ... -2/9 ...... -1 ...... 0
... 5 ..... 1 ..... 1 ..... -1/4 .... 19/25 .... 0
1 .. -5/4 ... -4/9 ... -3/2 ... -2/25 ... -29/36 ... 0.
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CROSSREFS
| Numerator=A084884, A084887.
Sequence in context: A088440 A203025 A057521 * A112538 A008477 A184729
Adjacent sequences: A084882 A084883 A084884 * A084886 A084887 A084888
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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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