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A003367
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Numbers that are the sum of 11 positive 6th powers.
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32
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11, 74, 137, 200, 263, 326, 389, 452, 515, 578, 641, 704, 739, 802, 865, 928, 991, 1054, 1117, 1180, 1243, 1306, 1369, 1467, 1530, 1593, 1656, 1719, 1782, 1845, 1908, 1971, 2034, 2195, 2258, 2321, 2384
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OFFSET
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1,1
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LINKS
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EXAMPLE
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90416 is in the sequence as 90416 = 1^6 + 1^6 + 1^6 + 4^6 + 4^6 + 4^6 + 5^6 + 5^6 + 5^6 + 5^6 + 5^6.
126122 is in the sequence as 126122 = 1^6 + 1^6 + 1^6 + 3^6 + 3^6 + 3^6 + 3^6 + 3^6 + 3^6 + 4^6 + 7^6.
142957 is in the sequence as 142957 = 1^6 + 1^6 + 1^6 + 3^6 + 4^6 + 4^6 + 4^6 + 4^6 + 4^6 + 4^6 + 7^6. (End)
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MATHEMATICA
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upto=2600; With[{max=Ceiling[Power[upto, (6)^-1]]}, Select[Union[ Total/@ Tuples[ Range[max]^6, 11]], #<=upto&]] (* Harvey P. Dale, Aug 12 2011 *)
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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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