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 A322530 #8 Dec 14 2018 21:20:58
%S A322530 1,0,1,1,0,2,1,2,1,1,3,2,2,4,3,3,3,6,5,5,5,6,8,8,9,8,11,8,12,13,16,14,
%T A322530 13,16,21,18,21,25,22,24,27,35,33,33,32,37,42,47,48,48,52,51,59,70,68,
%U A322530 65,69,80,87,90,103,100,96,103,123,128,135,136,132,153
%N A322530 Number of integer partitions of n with no 1's whose product of parts is a squarefree number.
%C A322530 Such a partition must be strict and its parts must also be squarefree.
%e A322530 The a(26) = 11 integer partitions:
%e A322530 (26),
%e A322530 (15,11), (19,7), (21,5), (23,3),
%e A322530 (13,7,6), (13,10,3), (13,11,2), (17,7,2), (19,5,2),
%e A322530 (11,7,5,3).
%t A322530 Table[Length[Select[IntegerPartitions[n],!MemberQ[#,1]&&SquareFreeQ[Times@@#]&]],{n,30}]
%Y A322530 First differences of A322526.
%Y A322530 Cf. A002865, A003963, A005117, A064573, A072774, A073576, A302505, A319005, A319057, A319169, A320322, A322527, A322528, A322529.
%K A322530 nonn
%O A322530 0,6
%A A322530 _Gus Wiseman_, Dec 14 2018