A003343 Numbers that are the sum of 9 positive 4th powers.
9, 24, 39, 54, 69, 84, 89, 99, 104, 114, 119, 129, 134, 144, 149, 164, 169, 179, 184, 194, 199, 209, 214, 229, 244, 249, 259, 264, 274, 279, 294, 309, 324, 329, 339, 344, 354, 359, 369, 374, 384, 389, 404, 409, 419, 424, 434, 439, 449, 454, 469, 484, 489, 499, 504
Offset: 1
Examples
From _David A. Corneth_, Aug 02 2020: (Start) 4644 is in the sequence as 4644 = 1^4 + 3^4 + 3^4 + 3^4 + 4^4 + 4^4 + 6^4 + 6^4 + 6^4. 7541 is in the sequence as 7541 = 1^4 + 1^4 + 2^4 + 4^4 + 5^4 + 5^4 + 5^4 + 6^4 + 8^4. 10855 is in the sequence as 10855 = 1^4 + 3^4 + 3^4 + 5^4 + 5^4 + 5^4 + 5^4 + 8^4 + 8^4. (End)
Links
- David A. Corneth, Table of n, a(n) for n = 1..10000 (first 1000 terms from T. D. Noe)
- Eric Weisstein's World of Mathematics, Biquadratic Number.
Programs
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Mathematica
Select[Range[500], AnyTrue[PowersRepresentations[#, 9, 4], First[#]>0&]&] (* Jean-François Alcover, Jul 18 2017 *)