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 A326180 #5 Jun 14 2019 21:52:14 %S A326180 0,1,1,1,1,1,3,1,1,1,11,1,16,1,1,1,27,1 %N A326180 Number of maximal subsets of {1..n} containing n whose product is divisible by their sum. %F A326180 a(A060462(n)) = 1. %e A326180 The a(6) = 3, a(10) = 11, and a(12) = 16 subsets: %e A326180 {1,3,5,6} {1,2,4,5,6,7,10} {1,2,3,4,5,6,7,8,12} %e A326180 {1,2,3,4,6} {1,2,3,4,5,7,8,10} {1,3,4,5,6,7,8,10,12} %e A326180 {2,3,4,5,6} {1,2,3,4,6,7,9,10} {1,3,4,6,7,8,9,10,12} %e A326180 {1,2,3,5,6,7,8,10} {1,3,4,5,6,8,10,11,12} %e A326180 {1,2,3,5,7,8,9,10} {1,2,3,4,5,6,8,9,10,12} %e A326180 {1,2,5,6,7,8,9,10} {1,2,3,4,6,7,8,9,11,12} %e A326180 {1,3,4,5,6,7,9,10} {1,2,3,5,6,7,8,9,10,12} %e A326180 {1,3,4,6,7,8,9,10} {1,2,3,5,6,7,8,9,11,12} %e A326180 {1,4,5,6,7,8,9,10} {1,3,4,5,6,7,8,9,11,12} %e A326180 {1,2,3,4,5,6,8,9,10} {1,2,3,4,6,7,8,10,11,12} %e A326180 {2,3,4,5,6,7,8,9,10} {1,2,3,4,6,8,9,10,11,12} %e A326180 {1,3,5,6,7,8,9,10,11,12} %e A326180 {1,2,3,4,5,6,7,9,10,11,12} %e A326180 {1,2,3,4,5,7,8,9,10,11,12} %e A326180 {1,2,4,5,6,7,8,9,10,11,12} %e A326180 {2,3,4,5,6,7,8,9,10,11,12} %t A326180 fasmax[y_]:=Complement[y,Union@@(Most[Subsets[#]]&/@y)]; %t A326180 Table[Length[fasmax[Select[Subsets[Range[n],{1,n}],MemberQ[#,n]&&Divisible[Times@@#,Plus@@#]&]]],{n,0,10}] %Y A326180 Cf. A053632, A057567, A057568, A059529, A060462, A063865, A301987, A326153/A326154, A326156, A326158, A326178, A326179. %K A326180 nonn,more %O A326180 0,7 %A A326180 _Gus Wiseman_, Jun 13 2019