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Search: id:A094871
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| A094871 |
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Let 2/(2n+1) = 1/i + 1/j + 1/k + ... with i < j < k < ... be the ancient Egyptian way of writing this fraction; sequence gives value of i. |
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+0
1
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| 2, 3, 4, 6, 6, 8, 10, 12, 12, 14, 12, 15, 18, 24, 20, 22, 30, 24, 26, 24, 42, 30, 30, 28, 34, 30, 30, 38, 36, 40, 42, 39, 40, 46, 40, 60, 50, 44, 60, 54, 60, 51, 58, 60, 70, 62, 60, 56, 66
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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The rules for constructing this "Egyptian fraction" are quite involved - see for example the Brown link.
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REFERENCES
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Ahmes, circa 1650 BC (The Rhind Mathematical Papyrus in British Museum).
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LINKS
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K. S. Brown, The Rhind Papyrus 2/N Table
R. Knott, Egyptian Fractions
S. C. Williams, The Best Egyptian Fractions
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EXAMPLE
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2/3 = 1/2+1/6, 2/5 = 1/3+1/15, 2/7 = 1/4+1/28, 2/9 = 1/6+1/18, 2/11 = 1/6+1/66, 2/13 = 1/8+1/52+1/104, ...
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CROSSREFS
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Adjacent sequences: A094868 A094869 A094870 this_sequence A094872 A094873 A094874
Sequence in context: A112275 A034298 A092404 this_sequence A157450 A079667 A073061
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), based on a suggeston from Ed Pegg, Jr. (edpegg(AT)gmail.com), Jun 21 2004
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