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

1,1

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.

Example

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)

Mathematica

Select[Range[500], AnyTrue[PowersRepresentations[#, 9, 4], First[#]>0&]&] (* Jean-François Alcover, Jul 18 2017 *)

Crossrefs

Cf. A003332, A003342, A003344, A003354, A345586, A345843.

Sequence in context: A102217 A124065 A121453 * A345843 A047720 A320599

Adjacent sequences: A003340 A003341 A003342 * A003344 A003345 A003346

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved