id:A053878 - OEIS Search Results

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Difference between numerator and denominator of lowest terms fraction from division of a highly composite number (1) by its predecessor.

+0
1

1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 7, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 5, 1, 1, 1, 1, 1, 1, 1, 1, 1, 4, 1, 1, 4, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 13, 2, 5, 11, 13, 2, 1, 5, 2, 1, 1, 1, 1, 3, 1, 1, 1, 3, 1, 1, 1 (list; graph; listen)

	OFFSET	`2,25`
	COMMENT	`Successive fractions are 2/1, 2/1, 3/2, 2/1, 2/1, 3/2, 4/3, 5/4, 2/1, 3/2, 4/3, 3/2, 2/1.` `This sequence is not multiplicative.`
	FORMULA	`a(n) = A054483(n)-A054482(n) =(A002182(n)-A002182(n-1))/A054481(n).`
	EXAMPLE	`a(7)=1 since A002182(7)=36, A002182(6)=24, 36/24=3/2 in lowest terms and 3-2=1.`
	CROSSREFS	`Cf. A002182.` `Sequence in context: A136428 A152447 A154098 this_sequence A070672 A055061 A074465` `Adjacent sequences: A053875 A053876 A053877 this_sequence A053879 A053880 A053881`
	KEYWORD	`nonn`
	AUTHOR	`Henry Bottomley (se16(AT)btinternet.com), Mar 31 2000`
	EXTENSIONS	`More terms from Jud McCranie (j.mccranie(AT)comcast.net), Jun 09 2005`

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.

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