A004823 - OEIS

%I #18 Aug 05 2020 00:58:25

%S 12,2059,4106,6153,8200,10247,12294,14341,16388,18435,20482,22529,

%T 24576,177158,179205,181252,183299,185346,187393,189440,191487,193534,

%U 195581,197628,199675,354304,356351,358398,360445,362492,364539,366586,368633,370680,372727,374774

%N Numbers that are the sum of 12 positive 11th powers.

%H David A. Corneth, <a href="/A004823/b004823.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)

%e From _David A. Corneth_, Aug 04 2020: (Start)

%e 208428902 is in the sequence as 208428902 = 1^11 + 2^11 + 3^11 + 3^11 + 3^11 + 4^11 + 4^11 + 4^11 + 5^11 + 5^11 + 5^11 + 5^11.

%e 562491247 is in the sequence as 562491247 = 2^11 + 2^11 + 2^11 + 2^11 + 2^11 + 3^11 + 4^11 + 5^11 + 5^11 + 5^11 + 5^11 + 6^11.

%e 620052034 is in the sequence as 620052034 = 3^11 + 3^11 + 3^11 + 4^11 + 4^11 + 4^11 + 5^11 + 5^11 + 5^11 + 5^11 + 5^11 + 6^11. (End)

%t Select[Union[Total[#^11]&/@Tuples[Range[3],{12}]],#<+400000&]  (* _Harvey P. Dale_, Apr 29 2011 *)

%Y Cf. A008455 (eleventh powers).

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_