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 A303547 #10 Jun 21 2020 05:39:16
%S A303547 0,1,1,4,1,13,1,33,10,94,1,327,1,913,100,3017,1,10233,1,34236,919,
%T A303547 119372,1,432234,91,1574227,9945,5916177,1,22734231,1,89003059,119378,
%U A303547 356058543,1000,1453509039,1,6044132797,1574233,25612601420,1,110509543144,1,485161348076
%N A303547 Number of non-isomorphic periodic multiset partitions of weight n.
%C A303547 A multiset is periodic if its multiplicities have a common divisor greater than 1. For this sequence neither the parts nor their multiset union are required to be periodic, only the multiset of parts.
%F A303547 a(n) = 1 if n is prime.
%F A303547 a(n) = A007716(n) - A303546(n).
%e A303547 Non-isomorphic representatives of the a(4) = 4 multiset partitions are {{1,1},{1,1}}, {{1,2},{1,2}}, {{1},{1},{1},{1}}, {{1},{1},{2},{2}}.
%Y A303547 Cf. A000740, A000837, A001055, A007716, A007916, A049311, A100953, A255906, A269134, A275024, A293993, A301700, A303386, A303431, A303546.
%K A303547 nonn
%O A303547 1,4
%A A303547 _Gus Wiseman_, Apr 26 2018
%E A303547 More terms from _Jinyuan Wang_, Jun 21 2020