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A217196
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Integers expressible in at least two ways as a^3 + b^4, where a,b > 0.
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2
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4097, 10729, 15641, 175625, 195193, 408536, 531442, 535537, 549017, 831209, 852984, 883664, 1778625, 3185784, 4258089, 5555233, 8876304, 11338448, 11402289, 12721424, 13844736, 16777217, 16781312, 17182440, 17308657, 19169848, 19703736, 22667633, 26248698
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OFFSET
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1,1
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COMMENTS
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Numbers are listed in increasing order, no duplicates allowed (i.e., if the number is so expressible in 3 or more ways).
a(n) >> n^(12/7) by a counting argument. Can this be improved? Is there a corresponding upper bound? - Charles R Greathouse IV, Sep 27 2012
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LINKS
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EXAMPLE
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a(1) = 4097 = 1^3 + 8^4 = 16^3 + 1^4 is the smallest such number.
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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