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Search: id:A073546
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| A073546 |
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Triangle read by rows in which row n gives denominators of n distinct unit fractions (or Egyptian fractions) which when summed equal 1. |
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+0
1
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| 2, 3, 6, 2, 4, 6, 12, 2, 4, 10, 12, 15, 3, 4, 6, 10, 12, 15, 3, 4, 9, 10, 12, 15, 18, 3, 5, 9, 10, 12, 15, 18, 20, 4, 5, 8, 9, 10, 15, 18, 20, 24, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 5, 6, 8, 9, 10, 15, 18, 20, 21, 24, 28, 6, 7, 8, 9, 10, 14, 15, 18, 20, 24, 28, 30
(list; graph; listen)
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OFFSET
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3,1
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REFERENCES
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R. K. Guy, Unsolved Problems in Number Theory, 2nd Edition, page 161.
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LINKS
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Kevin S. Brown, Unit Fractions, smallest last term
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EXAMPLE
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2,3,6; 2,4,6,12; 2,4,10,12,15; 3,4,6,10,12,15; ...
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CROSSREFS
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Sequence in context: A138515 A107410 A132041 this_sequence A115033 A093396 A084228
Adjacent sequences: A073543 A073544 A073545 this_sequence A073547 A073548 A073549
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KEYWORD
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nonn,tabf
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AUTHOR
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Robert G. Wilson v (rgwv(AT)rgwv.com), Aug 27 2002
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EXTENSIONS
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The denominators for 3 Egyptian fractions which equals 1 are {2,3,6} and for 6 are {3,4,6,10,12,15}.
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