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 A322528 #8 Dec 14 2018 21:20:43
%S A322528 1,1,2,2,3,3,4,3,5,4,7,2,7,4,7,7,9,3,10,5,12,9,8,6,14,10,12,10,14,11,
%T A322528 20,13,18,13,16,16,25,16,19,20,26,18,30,19,27,26,27,22,38,30,37,28,38,
%U A322528 32,43,37,46,40,47,40,66,49,58,56,64,56,73,58,76,70,85
%N A322528 Number of integer partitions of n whose parts all have the same number of prime factors (counted with multiplicity) and whose product of parts is a power of a squarefree number (A072774).
%e A322528 The a(1) = 1 through a(8) = 5 integer partitions:
%e A322528 (1) (2) (3) (4) (5) (6) (7) (8)
%e A322528 (11) (111) (22) (32) (33) (52) (44)
%e A322528 (1111) (11111) (222) (1111111) (53)
%e A322528 (111111) (2222)
%e A322528 (11111111)
%t A322528 Table[Length[Select[IntegerPartitions[n],And[SameQ@@PrimeOmega/@#,SameQ@@Last/@FactorInteger[Times@@#]]&]],{n,30}]
%Y A322528 Cf. A002865, A003963, A005117, A064573 , A072774, A295193, A302505, A306017, A319169, A320322, A322526, A322527, A322529, A322530, A322531.
%K A322528 nonn
%O A322528 0,3
%A A322528 _Gus Wiseman_, Dec 14 2018
%E A322528 More terms from _Alois P. Heinz_, Dec 14 2018