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A053878
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Difference between numerator and denominator of lowest terms fraction from division of a highly composite number (1) by its predecessor.
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0
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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; refs; listen; history; internal format)
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OFFSET
| 2,25
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COMMENTS
| 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.
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FORMULA
| a(n) = A054483(n)-A054482(n) =(A002182(n)-A002182(n-1))/A054481(n).
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EXAMPLE
| a(7)=1 since A002182(7)=36, A002182(6)=24, 36/24=3/2 in lowest terms and 3-2=1.
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CROSSREFS
| Cf. A002182.
Sequence in context: A198212 A154098 A176442 * A070672 A055061 A074465
Adjacent sequences: A053875 A053876 A053877 * A053879 A053880 A053881
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KEYWORD
| nonn
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AUTHOR
| Henry Bottomley (se16(AT)btinternet.com), Mar 31 2000
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EXTENSIONS
| More terms from Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Jun 09 2005
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