A003361 - OEIS

%I #20 Aug 03 2020 07:46:46

%S 5,68,131,194,257,320,733,796,859,922,985,1461,1524,1587,1650,2189,

%T 2252,2315,2917,2980,3645,4100,4163,4226,4289,4352,4828,4891,4954,

%U 5017,5556,5619,5682,6284,6347,7012,8195,8258,8321,8384,8923,8986,9049,9651,9714,10379,12290

%N Numbers that are the sum of 5 positive 6th powers.

%H T. D. Noe, <a href="/A003361/b003361.txt">Table of n, a(n) for n = 1..1000</a>

%e From _David A. Corneth_, Aug 03 2020: (Start)

%e 1071803 is in the sequence as 1071803 = 3^6 + 4^6 + 4^6 + 9^6 + 9^6.

%e 3563572 is in the sequence as 3563572 = 3^6 + 4^6 + 5^6 + 11^6 + 11^6.

%e 4862156 is in the sequence as 4862156 = 1^6 + 4^6 + 5^6 + 5^6 + 13^6. (End)

%t With[{upto=10000},Select[Union[Total/@Tuples[Range[Floor[Surd[upto-4,6]]]^6,5]],#<=upto&]] (* _Harvey P. Dale_, Apr 01 2016 *)

%Y Cf. A001014 (sixth powers).

%K nonn,easy

%O 1,1

%A _N. J. A. Sloane_