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A003365
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Numbers that are the sum of 9 positive 6th powers.
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31
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9, 72, 135, 198, 261, 324, 387, 450, 513, 576, 737, 800, 863, 926, 989, 1052, 1115, 1178, 1241, 1465, 1528, 1591, 1654, 1717, 1780, 1843, 1906, 2193, 2256, 2319, 2382, 2445, 2508, 2571, 2921, 2984, 3047, 3110, 3173, 3236, 3649, 3712, 3775, 3838, 3901, 4104, 4167, 4230
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refs;
listen;
history;
text;
internal format)
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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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124882 is in the sequence as 124882 = 2^6 + 2^6 + 2^6 + 2^6 + 2^6 + 5^6 + 5^6 + 6^6 + 6^6.
188939 is in the sequence as 188939 = 2^6 + 2^6 + 3^6 + 3^6 + 3^6 + 6^6 + 6^6 + 6^6 + 6^6.
257236 is in the sequence as 257236 = 3^6 + 3^6 + 4^6 + 4^6 + 4^6 + 4^6 + 4^6 + 7^6 + 7^6. (End)
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MATHEMATICA
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Reap[For[n = 1, n <= 3000, n++, If[AnyTrue[PowersRepresentations[n, 9, 6], First[#] > 0&], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 18 2017 *)
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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