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 A326179 #16 Jun 23 2019 02:47:29 %S A326179 0,1,1,2,1,5,9,15,30,65,138,274,563,1149,2441,5110,9090,19645,37524, %T A326179 79178,156697,324182,663749,1353984,2529510,5088926,10686159,19987129, %U A326179 40800192,85303150,162549135,341440697,630392773,1317158898,2687152135,5276362642,10078384386,21415439670,43367751196,86613992774,166456115593 %N A326179 Number of subsets of {1..n} containing n whose product is divisible by their sum. %e A326179 The a(1) = 1 through a(7) = 15 subsets: %e A326179 {1} {2} {3} {4} {5} {6} {7} %e A326179 {1,2,3} {1,4,5} {3,6} {1,6,7} %e A326179 {2,3,5} {2,4,6} {2,5,7} %e A326179 {3,4,5} {4,5,6} {3,4,7} %e A326179 {1,2,3,4,5} {1,2,3,6} {3,5,7} %e A326179 {1,3,5,6} {1,2,4,7} %e A326179 {3,4,5,6} {2,3,6,7} %e A326179 {1,2,3,4,6} {2,5,6,7} %e A326179 {2,3,4,5,6} {3,5,6,7} %e A326179 {1,2,5,6,7} %e A326179 {1,3,4,5,7} %e A326179 {1,3,4,6,7} %e A326179 {2,3,4,5,7} %e A326179 {2,4,5,6,7} %e A326179 {1,2,3,4,5,6,7} %t A326179 Table[Length[Select[Subsets[Range[n],{1,n}],MemberQ[#,n]&&Divisible[Times@@#,Plus@@#]&]],{n,0,10}] %Y A326179 Cf. A053632, A057567, A057568, A059529, A063865, A301987, A326153/A326154, A326156, A326158, A326178, A326180. %K A326179 nonn %O A326179 0,4 %A A326179 _Gus Wiseman_, Jun 13 2019 %E A326179 a(21)-a(30) from _Alois P. Heinz_, Jun 13 2019 %E A326179 a(31)-a(40) from _Bert Dobbelaere_, Jun 23 2019