%I #25 Feb 16 2025 08:32:27
%S 9,24,39,54,69,84,89,99,104,114,119,129,134,144,149,164,169,179,184,
%T 194,199,209,214,229,244,249,259,264,274,279,294,309,324,329,339,344,
%U 354,359,369,374,384,389,404,409,419,424,434,439,449,454,469,484,489,499,504
%N Numbers that are the sum of 9 positive 4th powers.
%H David A. Corneth, <a href="/A003343/b003343.txt">Table of n, a(n) for n = 1..10000</a> (first 1000 terms from T. D. Noe)
%H Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number.</a>
%e From _David A. Corneth_, Aug 02 2020: (Start)
%e 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.
%e 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.
%e 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)
%t Select[Range[500], AnyTrue[PowersRepresentations[#, 9, 4], First[#]>0&]&] (* _Jean-François Alcover_, Jul 18 2017 *)
%Y Cf. A003332, A003342, A003344, A003354, A345586, A345843.
%K nonn,easy,changed
%O 1,1
%A _N. J. A. Sloane_