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 A374014 #26 Feb 16 2025 08:34:07
%S A374014 1,16,120,560,1820,4368,8008,11440,12870,11440,8008,4368,1820,560,120,
%T A374014 16,17,240,1680,7280,21840,48048,80080,102960,102960,80080,48048,
%U A374014 21840,7280,1680,240,16,120,1680,10920,43680,120120,240240,360360,411840,360360,240240,120120,43680,10920,1680,120,0
%N A374014 Expansion of (Sum_{k>=0} x^(k^4))^16.
%C A374014 Number of ways to write n as an ordered sum of 16 fourth powers (A000583).
%H A374014 Seiichi Manyama, <a href="/A374014/b374014.txt">Table of n, a(n) for n = 0..20000</a>
%H A374014 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/WaringsProblem.html">Waring's Problem</a>
%F A374014 a(A099591(n)) = 0.
%F A374014 a(n) > 0 for n > 13792.
%o A374014 (PARI) my(N=50, x='x+O('x^N)); Vec(sum(k=0, sqrtnint(N, 4), x^k^4)^16)
%Y A374014 Cf. A000583, A002377, A014110, A099591.
%Y A374014 Cf. A282288, A374016.
%K A374014 nonn
%O A374014 0,2
%A A374014 _Seiichi Manyama_, Jun 25 2024