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 A325760 #7 May 19 2019 20:33:19 %S A325760 1,2,3,12,5,72,7,40,27,120,11,864,13,168,180,112,17,1296,19,1440,252, %T A325760 264,23,2880,75,312,135,2016,29,1200,31,352,396,408,420,972,37,456, %U A325760 468,4800,41,1680,43,3168,3240,552,47,8064,147,3600,612,3744,53,6480,660 %N A325760 Heinz number of the frequency span of n. %C A325760 The Heinz number of a positive integer sequence (y_1,...,y_k) is prime(y_1)*...*prime(y_k). %C A325760 We define the frequency span of an integer partition to be the partition itself if it has no or only one block, and otherwise it is the multiset union of the partition and the frequency span of its multiplicities. For example, the frequency span of (3,2,2,1) is {1,2,2,3} U {1,1,2} U {1,2} U {1,1} U {2} = {1,1,1,1,1,1,2,2,2,2,2,3}. The frequency span of a positive integer n is the frequency span of its prime indices (row n of A296150). %t A325760 primeMS[n_]:=If[n==1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]]; %t A325760 freqspan[ptn_]:=If[Length[ptn]<=1,ptn,Sort[Join[ptn,freqspan[Sort[Length/@Split[ptn]]]]]]; %t A325760 Table[Times@@Prime/@freqspan[primeMS[n]],{n,30}] %Y A325760 Row-products of A325277. %Y A325760 The prime indices of a(n) are row n of A325757. %Y A325760 The unsorted prime signature of a(n) is row n of A325758. %Y A325760 Cf. A001221, A001222, A056239, A071625, A112798, A181819, A182857, A323014, A324843, A325248, A325249, A325759. %K A325760 nonn %O A325760 1,2 %A A325760 _Gus Wiseman_, May 19 2019