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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.

A316362 Heinz numbers of strict integer partitions such that not every distinct subset has a different average.

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%I A316362 #7 Jun 30 2018 20:40:49
%S A316362 30,105,110,210,238,273,330,385,390,462,506,510,546,570,627,690,714,
%T A316362 770,806,858,870,910,930,935,966,1001,1110,1131,1155,1190,1230,1254,
%U A316362 1290,1326,1330,1365,1394,1410,1430,1482,1495,1518,1590,1729,1770,1785,1786,1794
%N A316362 Heinz numbers of strict integer partitions such that not every distinct subset has a different average.
%C A316362 The Heinz number of an integer partition (y_1,...,y_k) is prime(y_1)*...*prime(y_k).
%e A316362 462 is the Heinz number of (5,4,2,1), and the subsets {1,5}, and {2,4} have the same average, so 462 belongs to the sequence.
%t A316362 primeMS[n_]:=If[n===1,{},Flatten[Cases[FactorInteger[n],{p_,k_}:>Table[PrimePi[p],{k}]]]];
%t A316362 Select[Range[3000],SquareFreeQ[#]&&!UnsameQ@@Mean/@Union[Subsets[primeMS[#]]]&]
%Y A316362 Cf. A032302, A056239, A108917, A122768, A275972, A276024, A296150, A299702, A301899, A316313, A316314, A316361.
%K A316362 nonn
%O A316362 1,1
%A A316362 _Gus Wiseman_, Jun 30 2018