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A278816
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Numbers that can be produced from their own digits by applying one or more of the eight operations {+, -, *, /, sqrt(), ^, !, concat11()}, with no operation used more than once, where "concat11()" means the operation of concatenating two single digits.
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0
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0, 1, 2, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73, 74, 75, 76, 77, 78, 79, 80, 81, 82, 83, 84
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OFFSET
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1,3
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COMMENTS
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Extending the sequence will soon become impractical without a program to check every possible way to apply one or more of the eight operations. - Editors, Dec 03 2016
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LINKS
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EXAMPLE
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0 is a term because sqrt(0) = 0;
24 is a term because (2+sqrt(4))! = 24;
25 is a term because 5^2 = 25;
343 is a term because (3+4)^3 = 343.
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CROSSREFS
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KEYWORD
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nonn,base
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AUTHOR
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STATUS
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approved
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