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

1,1

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)
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)

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 *)

Crossrefs

Cf. A001014 (sixth powers).

Sequence in context: A144745 A158193 A123987 * A044196 A064201 A244728

Adjacent sequences: A003362 A003363 A003364 * A003366 A003367 A003368

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved