id:A084885 - OEIS Search Results

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

+0
4

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; listen)

	OFFSET	`1,5`
	COMMENT	`Arithmetic derivative of n/k = (kA003415(n)-nA003415(k))/k^2;`
	LINKS	`Eric Weisstein's World of Mathematics, Quotient Rule.`
	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.`
	CROSSREFS	`Numerator=A084884, A084887.` `Sequence in context: A074058 A088440 A057521 this_sequence A112538 A008477 A127707` `Adjacent sequences: A084882 A084883 A084884 this_sequence A084886 A084887 A084888`
	KEYWORD	`nonn,tabl`
	AUTHOR	`Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Jun 10 2003`

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Last modified November 30 13:13 EST 2009. Contains 167758 sequences.

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