%I #19 Aug 04 2020 17:18:51
%S 11,74,137,200,263,326,389,452,515,578,641,704,739,802,865,928,991,
%T 1054,1117,1180,1243,1306,1369,1467,1530,1593,1656,1719,1782,1845,
%U 1908,1971,2034,2195,2258,2321,2384
%N Numbers that are the sum of 11 positive 6th powers.
%H David A. Corneth, <a href="/A003367/b003367.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)
%e From _David A. Corneth_, Aug 03 2020: (Start)
%e 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.
%e 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.
%e 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)
%t upto=2600;With[{max=Ceiling[Power[upto, (6)^1]]}, Select[Union[ Total/@ Tuples[ Range[max]^6,11]],#<=upto&]] (* _Harvey P. Dale_, Aug 12 2011 *)
%K nonn
%O 1,1
%A _N. J. A. Sloane_
