A003360 Numbers that are the sum of 4 positive 6th powers.
4, 67, 130, 193, 256, 732, 795, 858, 921, 1460, 1523, 1586, 2188, 2251, 2916, 4099, 4162, 4225, 4288, 4827, 4890, 4953, 5555, 5618, 6283, 8194, 8257, 8320, 8922, 8985, 9650, 12289, 12352, 13017, 15628, 15691, 15754, 15817, 16356, 16384, 16419, 16482, 17084, 17147, 17812
Offset: 1
Examples
From _David A. Corneth_, Aug 03 2020: (Start) 7875074 is in the sequence as 7875074 = 5^6 + 6^6 + 12^6 + 13^6. 12770418 is in the sequence as 12770418 = 7^6 + 8^6 + 10^6 + 15^6. 20763201 is in the sequence as 20763201 = 1^6 + 10^6 + 12^6 + 16^6. (End)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
Crossrefs
Cf. A001014 (sixth powers).
Programs
-
Mathematica
Reap[For[n = 1, n <= 20000, n++, If[AnyTrue[PowersRepresentations[n, 4, 6], First[#] > 0&], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 18 2017 *)