id:A084887 - OEIS Search Results

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Triangular array, read by rows: T(n,k) = denominator of arithmetic derivative of k/n, 1<=k<=n.

+0
4

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; listen)

	OFFSET	`1,2`
	COMMENT	`Arithmetic derivative of k/n = (nA003415(k)-kA003415(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	`Numerator=A084886, A084885.` `Sequence in context: A010644 A137615 A021990 this_sequence A067015 A091885 A069606` `Adjacent sequences: A084884 A084885 A084886 this_sequence A084888 A084889 A084890`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)lhsystems.com), Jun 10 2003`

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Last modified August 19 23:53 EDT 2008. Contains 142930 sequences.

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