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A003365
Numbers that are the sum of 9 positive 6th powers.
31
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
KEYWORD
nonn,easy
STATUS
approved