A003365 Numbers that are the sum of 9 positive 6th powers.

9, 72, 135, 198, 261, 324, 387, 450, 513, 576, 737, 800, 863, 926, 989, 1052, 1115, 1178, 1241, 1465, 1528, 1591, 1654, 1717, 1780, 1843, 1906, 2193, 2256, 2319, 2382, 2445, 2508, 2571, 2921, 2984, 3047, 3110, 3173, 3236, 3649, 3712, 3775, 3838, 3901, 4104, 4167, 4230

Offset: 1

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Examples

			From _David A. Corneth_, Aug 03 2020: (Start)
124882 is in the sequence as 124882 = 2^6 + 2^6 + 2^6 + 2^6 + 2^6 + 5^6 + 5^6 + 6^6 + 6^6.
188939 is in the sequence as 188939 = 2^6 + 2^6 + 3^6 + 3^6 + 3^6 + 6^6 + 6^6 + 6^6 + 6^6.
257236 is in the sequence as 257236 = 3^6 + 3^6 + 4^6 + 4^6 + 4^6 + 4^6 + 4^6 + 7^6 + 7^6. (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 <= 3000, n++, If[AnyTrue[PowersRepresentations[n, 9, 6], First[#] > 0&], Print[n]; Sow[n]]]][[2, 1]] (* Jean-François Alcover, Jul 18 2017 *)