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%I #14 Aug 04 2020 15:30:56
%S 11,138,265,392,519,646,773,900,1027,1154,1281,1408,2197,2324,2451,
%T 2578,2705,2832,2959,3086,3213,3340,3467,4383,4510,4637,4764,4891,
%U 5018,5145,5272,5399,5526,6569,6696,6823,6950,7077,7204,7331,7458,7585,8755,8882,9009,9136
%N Numbers that are the sum of 11 positive 7th powers.
%H David A. Corneth, <a href="/A003378/b003378.txt">Table of n, a(n) for n = 1..10000</a>
%e From _David A. Corneth_, Aug 03 2020: (Start)
%e 340152 is in the sequence as 340152 = 1^7 + 2^7 + 3^7 + 3^7 + 3^7 + 3^7 + 3^7 + 4^7 + 4^7 + 4^7 + 6^7.
%e 595136 is in the sequence as 595136 = 1^7 + 2^7 + 2^7 + 2^7 + 2^7 + 3^7 + 5^7 + 5^7 + 5^7 + 5^7 + 6^7.
%e 978139 is in the sequence as 978139 = 3^7 + 3^7 + 3^7 + 3^7 + 3^7 + 4^7 + 4^7 + 4^7 + 4^7 + 5^7 + 7^7. (End)
%t With[{upto=10000},Select[Total/@Tuples[Range[Floor[Surd[upto,7]]]^7,11]//Union,#<=upto&]] (* _Harvey P. Dale_, May 13 2018 *)
%Y Cf. A001015 (seventh powers).
%K nonn,easy
%O 1,1
%A _N. J. A. Sloane_
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