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 A366814 #13 Oct 25 2023 18:20:51
%S A366814 1,4,16,29,71,115,211,289,511,649,1002,1253,1821,2174,3146,3505,4846,
%T A366814 5605,7316,8099,10852,11653,14951,16333,20546,21935,27916,28904,35961,
%U A366814 38620,46377,48113,59922,61204,74096,77024,91391,93959,113766,114059,135752,140654,163186
%N A366814 a(n) = Sum_{d|n} (-1)^(n/d-1) * binomial(d+3,4).
%H A366814 Michael De Vlieger, <a href="/A366814/b366814.txt">Table of n, a(n) for n = 1..10000</a>
%F A366814 G.f.: -Sum_{k>=1} (-x)^k/(1-x^k)^5 = Sum_{k>=1} binomial(k+3,4) * x^k/(1+x^k).
%t A366814 Table[DivisorSum[n, (-1)^(n/# - 1)*Binomial[# + 3, 4] &], {n, 56}] (* _Michael De Vlieger_, Oct 25 2023 *)
%o A366814 (PARI) a(n) = sumdiv(n, d, (-1)^(n/d-1)*binomial(d+3, 4));
%Y A366814 Partial sums give A366723.
%Y A366814 Cf. A000593, A365007, A366813.
%K A366814 nonn
%O A366814 1,2
%A A366814 _Seiichi Manyama_, Oct 24 2023