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A051882
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Call m strict-sense Egyptian if we can partition m = x_1+x_2+...+x_k into distinct positive integers x_i such that Sum_{i=1..k} 1/x_i = 1; sequence gives all numbers that are not strict-sense Egyptian.
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3
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2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 25, 26, 27, 28, 29, 33, 34, 35, 36, 39, 40, 41, 42, 44, 46, 47, 48, 49, 51, 56, 58, 63, 68, 70, 72, 77
(list; graph; refs; listen; history; internal format)
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OFFSET
| 1,1
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COMMENTS
| Lehmer shows that 77 is in this sequence. Graham shows that it is the last member of the sequence.
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REFERENCES
| D. H. Lehmer, unpublished work, cited in Graham 1963.
See also R. K. Guy, Unsolved Problems Number Theory, Sect. D11.
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LINKS
| R. L. Graham, A theorem on partitions, J. Austral. Math. Soc. 3:4 (1963), pp. 435-441. [Alternate link]
Eric Weisstein's World of Mathematics, Egyptian Number
Index entries for sequences related to Egyptian fractions
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EXAMPLE
| 1=1/2+1/3+1/6, so 2+3+6=11 is strict-sense Egyptian.
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CROSSREFS
| Cf. A028229.
Sequence in context: A101947 A183223 A167520 * A136002 A043096 A160542
Adjacent sequences: A051879 A051880 A051881 * A051883 A051884 A051885
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KEYWORD
| nonn,fini,full,nice
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AUTHOR
| Jud McCranie (JudMcCranie(AT)ugaalum.uga.edu), Dec 15 1999
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