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 A319162 #5 Sep 15 2018 15:47:30
%S A319162 0,1,1,2,1,3,1,4,2,6,1,9,1,12,6,16,1,27,1,33,12,46,1,70,5,84,22,110,1,
%T A319162 172,1,188,46,251,15,366,1,418,84,540,1,775,1,863,162,1095,1,1535,11,
%U A319162 1750,251,2154,1,2963,49,3323,418,4106,1,5567
%N A319162 Number of periodic integer partitions of n whose multiplicities are aperiodic, meaning the multiplicities of these multiplicities are relatively prime.
%e A319162 The a(12) = 9 partitions:
%e A319162 (66),
%e A319162 (444), (441111),
%e A319162 (3333), (33111111),
%e A319162 (222222), (222111111), (2211111111),
%e A319162 (111111111111).
%t A319162 Table[Length[Select[IntegerPartitions[n],And[GCD@@Sort[Length/@Split[#]]>1,GCD@@Length/@Split[Sort[Length/@Split[#]]]==1]&]],{n,30}]
%Y A319162 Cf. A000837, A018783, A047966, A098859, A100953, A305563, A319149, A319160, A319163, A319164.
%K A319162 nonn
%O A319162 1,4
%A A319162 _Gus Wiseman_, Sep 12 2018