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Search: id:A121090
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| A121090 |
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Period of unit fractions having periodic decimal expansions. |
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+0
2
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| 1, 1, 6, 1, 2, 1, 6, 6, 1, 16, 1, 18, 6, 2, 22, 1, 6, 3, 6, 28, 1, 15, 2, 16, 6, 1, 3, 18, 6, 5, 6, 21, 2, 1, 22, 46, 1, 42, 16, 6, 13, 3, 2, 6, 18, 28, 58, 1, 60, 15, 6, 6, 2, 33, 16, 22, 6, 35, 1, 8, 3, 1, 18, 6, 6, 13, 9, 5, 41, 6, 16, 21, 28, 2, 44, 1, 6, 22, 15, 46, 18, 1, 96, 42, 2, 4, 16
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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See A007732, which is the main entry for this sequence.
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EXAMPLE
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The first unit fraction considered is 1/3 because both 1/1 and 1/2 have finite decimal expansions.
a(1) = 1 because 1/3=.33333... whose repeating portion, 3, is of length 1.
Note: 1/4 and 1/5 are skipped because their decimal expansions are finite.
a(2) = 1 because 1/6=.166666... whose repeating portion, 6, is of length 1.
a(3) = 6 because 1/7 =.142857142857... whose repeating portion, 142857, is of length 6.
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PROGRAM
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//pseudocode next=1 for n = 1 to infinity if periodic(decimalExpansion(1/n)) = TRUE a(next++) = strLen(repeatingGroup(decimalExpansion(1/n))) next n
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CROSSREFS
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Cf. A085837, A007732.
Sequence in context: A111825 A085552 A002950 this_sequence A010135 A153736 A165070
Adjacent sequences: A121087 A121088 A121089 this_sequence A121091 A121092 A121093
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KEYWORD
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nonn
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AUTHOR
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Gil Broussard (gilbroussard(AT)bellsouth.net), Aug 11 2006
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