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 A308902 #10 Jun 29 2019 23:02:35 %S A308902 0,0,0,0,0,0,1,1,2,2,4,5,8,8,11,13,18,19,25,27,36,39,48,52,66,70,85, %T A308902 91,111,117,139,148,176,185,214,227,266,278,318,336,387,405,459,482, %U A308902 550,574,644,676,764,796,885,929,1038,1082,1194,1247,1385,1440,1580 %N A308902 Number of partitions of n into 6 squarefree parts. %H A308902 <a href="/index/Par#part">Index entries for sequences related to partitions</a> %F A308902 a(n) = Sum_{m=1..floor(n/6)} Sum_{l=m..floor((n-m)/5)} Sum_{k=l..floor((n-l-m)/4)} Sum_{j=k..floor((n-k-l-m)/3)} Sum_{i=j..floor((n-j-k-l-m)/2)} mu(m)^2 * mu(l)^2 * mu(k)^2 * mu(j)^2 * mu(i)^2 * mu(n-i-k-j-l-m)^2, where mu is the Möbius function (A008683). %F A308902 a(n) = A308903(n)/n. %t A308902 Table[Sum[Sum[Sum[Sum[Sum[MoebiusMu[i]^2*MoebiusMu[j]^2*MoebiusMu[k]^2* MoebiusMu[l]^2*MoebiusMu[m]^2*MoebiusMu[n - i - j - k - l - m]^2, {i, j, Floor[(n - j - k - l - m)/2]}], {j, k, Floor[(n - k - l - m)/3]}], {k, l, Floor[(n - l - m)/4]}], {l, m, Floor[(n - m)/5]}], {m, Floor[n/6]}], {n, 0, 50}] %Y A308902 Cf. A008683, A308903, A308906, A308907, A308908, A308909, A308910, A308911. %K A308902 nonn %O A308902 0,9 %A A308902 _Wesley Ivan Hurt_, Jun 29 2019