A003361 Numbers that are the sum of 5 positive 6th powers.

5, 68, 131, 194, 257, 320, 733, 796, 859, 922, 985, 1461, 1524, 1587, 1650, 2189, 2252, 2315, 2917, 2980, 3645, 4100, 4163, 4226, 4289, 4352, 4828, 4891, 4954, 5017, 5556, 5619, 5682, 6284, 6347, 7012, 8195, 8258, 8321, 8384, 8923, 8986, 9049, 9651, 9714, 10379, 12290

Offset

1,1

Links

T. D. Noe, Table of n, a(n) for n = 1..1000

Example

From David A. Corneth, Aug 03 2020: (Start)
1071803 is in the sequence as 1071803 = 3^6 + 4^6 + 4^6 + 9^6 + 9^6.
3563572 is in the sequence as 3563572 = 3^6 + 4^6 + 5^6 + 11^6 + 11^6.
4862156 is in the sequence as 4862156 = 1^6 + 4^6 + 5^6 + 5^6 + 13^6. (End)

Mathematica

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

Crossrefs

Cf. A001014 (sixth powers).

Sequence in context: A115764 A252794 A328359 * A363401 A336433 A099334

Adjacent sequences: A003358 A003359 A003360 * A003362 A003363 A003364

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved