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 A326439 #10 Aug 30 2019 13:12:13 %S A326439 1,1,1,2,2,3,3,4,4,8,16,20,20,24,36,48,48,56,112,128,192,240,288,324, %T A326439 324,486,567,1134,1512,1680,1680,1848,1848,2112,2376,2640,2640,2880, %U A326439 3168,3456,6912,7488,14976,16128,20160,24192,26208,28080,28080,37440,43680 %N A326439 Number of maximal subsets of {1..n} such that no two elements have the same sorted prime signature. %C A326439 The sorted prime signature (A118914) of a positive integer is the multiset of exponents in its standard factorization into prime numbers. %H A326439 Andrew Howroyd, <a href="/A326439/b326439.txt">Table of n, a(n) for n = 0..1000</a> %e A326439 The a(0) = 1 through a(9) = 8 subsets: %e A326439 {} {1} {12} {12} {124} {124} {1246} {1246} {12468} {12468} %e A326439 {13} {134} {134} {1346} {1346} {13468} {12689} %e A326439 {145} {1456} {1456} {14568} {13468} %e A326439 {1467} {14678} {13689} %e A326439 {14568} %e A326439 {14678} %e A326439 {15689} %e A326439 {16789} %t A326439 prisig[n_]:=If[n==1,{},Sort[Last/@FactorInteger[n]]]; %t A326439 Table[Times@@(Length/@Split[Sort[Array[prisig,n]]]),{n,0,30}] %o A326439 (PARI) a(n)={if(n==0, 1, my(M=Map()); for(i=1, n, my(f=factor(i)[,2], s=sum(k=1, #f, x^f[k]), z); mapput(M, s, if(mapisdefined(M, s, &z), z + 1, 1))); vecprod(Mat(M)[,2]))} \\ _Andrew Howroyd_, Aug 30 2019 %Y A326439 Cf. A001221, A001222, A025487, A064839, A085089, A112798, A118914, A124010, A181819, A324762, A325263, A325365, A326438, A326441. %K A326439 nonn %O A326439 0,4 %A A326439 _Gus Wiseman_, Jul 06 2019