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 A319811 #4 Sep 29 2018 01:50:07
%S A319811 1,1,2,3,6,7,14,17,27,34,55,63,99,117,162,203,286,333,469,558,737,903,
%T A319811 1196,1414,1860,2232,2839,3422,4359,5144,6531,7762,9617,11479,14182,
%U A319811 16715,20630,24333,29569,34890,42335,49515,59871,70042,83810,98105,117152
%N A319811 Number of totally aperiodic integer partitions of n.
%C A319811 An integer partition is totally aperiodic iff either it is strict or it is aperiodic with totally aperiodic multiplicities.
%e A319811 The a(6) = 7 aperiodic integer partitions are: (6), (51), (42), (411), (321), (3111), (21111). The first aperiodic integer partition that is not totally aperiodic is (432211).
%t A319811 totaperQ[m_]:=Or[UnsameQ@@m,And[GCD@@Length/@Split[Sort[m]]==1,totaperQ[Sort[Length/@Split[Sort[m]]]]]];
%t A319811 Table[Length[Select[IntegerPartitions[n],totaperQ]],{n,30}]
%Y A319811 Cf. A000837, A018783, A047966, A098859, A100953, A305563, A319149, A319160, A319162, A319163, A319164, A319810.
%K A319811 nonn
%O A319811 1,3
%A A319811 _Gus Wiseman_, Sep 28 2018