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 A229336 #12 Jan 22 2023 17:28:51 %S A229336 1,6,12,5040,30,77598259200,56,1307674368000,168480,12703122432000, %T A229336 132, %U A229336 52875224823823084892891318660312910903645116196873830400000000000000,182,440505199411200,493242753024000,8222838654177922817725562880000000,306 %N A229336 Product of sums of elements of nonempty subsets of divisors of n. %C A229336 Number of nonempty subsets of divisors of n = A100587(n). %F A229336 a(2^n) = (2^(n+1) - 1)!. %e A229336 For n = 2^2 = 4; divisors of 4: {1, 2, 4}; nonempty subsets of divisors of n: {1}, {2}, {4}, {1, 2}, {1, 4}, {2, 4}, {1, 2, 4}; product of sums of elements of subsets = 1*2*4*3*5*6*7 = 5040 = (2^3 - 1)! = 7!. %t A229336 Table[Times@@(Total/@Rest[Subsets[Divisors[n]]]),{n,20}] (* _Harvey P. Dale_, Jan 22 2023 *) %Y A229336 Cf. A229335 (sum of sums of elements of nonempty subsets of divisors of n), %Y A229336 A229337 (sum of products of elements of nonempty subsets of divisors of n), %Y A229336 A229338 (product of products of elements of nonempty subsets of divisors of n). %K A229336 nonn %O A229336 1,2 %A A229336 _Jaroslav Krizek_, Sep 20 2013