This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A282288 #30 Feb 16 2025 08:33:41
%S A282288 1,19,171,969,3876,11628,27132,50388,75582,92378,92378,75582,50388,
%T A282288 27132,11628,3876,988,513,2926,15505,58140,162792,352716,604656,
%U A282288 831402,923780,831402,604656,352716,162792,58140,15504,3078,3249,23275,116280,406980,1058148,2116296,3325608,4157010,4157010,3325608
%N A282288 Expansion of (Sum_{k>=0} x^(k^4))^19.
%C A282288 Number of ways to write n as an ordered sum of 19 fourth powers (A000583).
%C A282288 a(n) > 0 for all n >= 0.
%C A282288 Every natural number is the sum of at most 19 fourth powers (Balasubramanian, 1986).
%H A282288 Seiichi Manyama, <a href="/A282288/b282288.txt">Table of n, a(n) for n = 0..10000</a>
%H A282288 Ilya Gutkovskiy, <a href="/A282288/a282288.pdf">Extended graphical example</a>
%H A282288 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/BiquadraticNumber.html">Biquadratic Number</a>
%H A282288 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/WaringsProblem.html">Waring's Problem</a>
%F A282288 G.f.: (Sum_{k>=0} x^(k^4))^19.
%t A282288 nmax = 42; CoefficientList[Series[Sum[x^k^4, {k, 0, nmax}]^19, {x, 0, nmax}], x]
%Y A282288 Cf. A000583, A002377, A002804, A014110, A173682.
%K A282288 nonn,look
%O A282288 0,2
%A A282288 _Ilya Gutkovskiy_, Feb 12 2017