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 A322527 #6 Dec 14 2018 21:20:35
%S A322527 1,1,2,3,5,7,11,13,18,21,31,34,45,51,63,72,88,97,120,128,158,174,201,
%T A322527 222,264,287,333,359,416,441,518,557,631,684,770,833,954,1017,1141,
%U A322527 1222,1378,1475,1643,1755,1939,2097,2327,2471,2758,2928,3233,3470,3813,4085
%N A322527 Number of integer partitions of n whose product of parts is a power of a squarefree number (A072774).
%e A322527 The a(1) = 1 through a(8) = 18 integer partitions:
%e A322527 (1) (2) (3) (4) (5) (6) (7) (8)
%e A322527 (11) (21) (22) (32) (33) (52) (44)
%e A322527 (111) (31) (41) (42) (61) (53)
%e A322527 (211) (221) (51) (331) (71)
%e A322527 (1111) (311) (222) (421) (422)
%e A322527 (2111) (321) (511) (521)
%e A322527 (11111) (411) (2221) (611)
%e A322527 (2211) (3211) (2222)
%e A322527 (3111) (4111) (3311)
%e A322527 (21111) (22111) (4211)
%e A322527 (111111) (31111) (5111)
%e A322527 (211111) (22211)
%e A322527 (1111111) (32111)
%e A322527 (41111)
%e A322527 (221111)
%e A322527 (311111)
%e A322527 (2111111)
%e A322527 (11111111)
%e A322527 Missing from the list for n = 7 through 9:
%e A322527 (43) (62) (54)
%e A322527 (322) (332) (63)
%e A322527 (431) (432)
%e A322527 (3221) (522)
%e A322527 (621)
%e A322527 (3222)
%e A322527 (3321)
%e A322527 (4311)
%e A322527 (32211)
%t A322527 Table[Length[Select[IntegerPartitions[n],SameQ@@Last/@FactorInteger[Times@@#]&]],{n,30}]
%Y A322527 Cf. A003963, A005117, A038041, A062503, A064573, A072774, A295193, A302505, A306021, A319169, A320322, A322526, A322528, A322530.
%K A322527 nonn
%O A322527 0,3
%A A322527 _Gus Wiseman_, Dec 14 2018