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 A326447 #6 Jul 06 2019 20:58:08
%S A326447 0,0,0,0,0,0,0,0,1,1,2,2,4,5,9,11,16,19,27,33,45,51,69,80,105,117,150,
%T A326447 172,216,242,300,339,416,466,568,636,768,852,1022,1135,1348,1483,1748,
%U A326447 1934,2260,2481,2876,3163,3655,3993,4582,5014,5735,6244,7098,7732
%N A326447 Sum of the sixth largest parts in the partitions of n into 8 squarefree parts.
%H A326447 <a href="/index/Par#part">Index entries for sequences related to partitions</a>
%F A326447 a(n) = Sum_{p=1..floor(n/8)} Sum_{o=p..floor((n-p)/7)} Sum_{m=o..floor((n-o-p)/6)} Sum_{l=m..floor((n-m-o-p)/5)} Sum_{k=l..floor((n-l-m-o-p)/4)} Sum_{j=k..floor((n-k-l-m-o-p)/3)} Sum_{i=j..floor((n-j-k-l-m-o-p)/2)} mu(p)^2 * mu(o)^2 * mu(m)^2 * mu(l)^2 * mu(k)^2 * mu(j)^2 * mu(i)^2 * mu(n-i-j-k-l-m-o-p)^2 * m, where mu is the Möbius function (A008683).
%F A326447 a(n) = A326444(n) - A326445(n) - A326446(n) - A326448(n) - A326449(n) - A326450(n) - A326451(n) - A326452(n).
%t A326447 Table[Sum[Sum[Sum[Sum[Sum[Sum[Sum[m * MoebiusMu[p]^2 * MoebiusMu[o]^2 * MoebiusMu[m]^2 * MoebiusMu[l]^2 * MoebiusMu[k]^2 * MoebiusMu[j]^2 * MoebiusMu[i]^2 * MoebiusMu[n - i - j - k - l - m - o - p]^2, {i, j, Floor[(n - j - k - l - m - o - p)/2]}], {j, k, Floor[(n - k - l - m - o - p)/3]}], {k, l, Floor[(n - l - m - o - p)/4]}], {l, m, Floor[(n - m - o - p)/5]}], {m, o, Floor[(n - o - p)/6]}], {o, p, Floor[(n - p)/7]}], {p, Floor[n/8]}], {n, 0, 50}]
%Y A326447 Cf. A008683, A326443, A326444, A326445, A326446, A326448, A326449, A326450, A326451, A326452.
%K A326447 nonn
%O A326447 0,11
%A A326447 _Wesley Ivan Hurt_, Jul 06 2019