A003362 Numbers that are the sum of 6 positive 6th powers.

6, 69, 132, 195, 258, 321, 384, 734, 797, 860, 923, 986, 1049, 1462, 1525, 1588, 1651, 1714, 2190, 2253, 2316, 2379, 2918, 2981, 3044, 3646, 3709, 4101, 4164, 4227, 4290, 4353, 4374, 4416, 4829, 4892, 4955, 5018, 5081, 5557, 5620, 5683, 5746, 6285, 6348, 6411, 7013

Offset

1,1

Comments

This sequence has no sixth powers less than 1.5133*10^35. - J. Lowell, Jul 03 2021

Links

David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)

Example

From David A. Corneth, Aug 03 2020: (Start)
448832 is in the sequence as 448832 = 2^6 + 6^6 + 6^6 + 6^6 + 6^6 + 8^6.
1000733 is in the sequence as 1000733 = 1^6 + 1^6 + 1^6 + 1^6 + 3^6 + 10^6.
1819677 is in the sequence as 1819677 = 1^6 + 1^6 + 3^6 + 3^6 + 6^6 + 11^6. (End)

Mathematica

Reap[For[n = 1, n <= 10000, n++, If[AnyTrue[PowersRepresentations[n, 6, 6], First[#] > 0&], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 18 2017 *)
With[{nn=5}, Select[Total/@Tuples[Range[nn]^6, 6]//Union, #<=nn^6-5&]] (* Harvey P. Dale, Mar 27 2022 *)

Crossrefs

Cf. A001014 (sixth powers).

Column k=6 of A336725.

Sequence in context: A127184 A333795 A113692 * A197170 A183438 A296016

Adjacent sequences: A003359 A003360 A003361 * A003363 A003364 A003365

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved