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 A325536 #5 May 08 2019 22:20:40
%S A325536 0,0,1,2,6,9,19,28,51,75,119,170,261,362,525,723,1019,1373,1890,2512,
%T A325536 3386,4452,5893,7658,10017,12881,16627,21210,27097,34266,43392,54462,
%U A325536 68399,85285,106305,131712,163132,200936,247332,303066,370989,452296,550875,668495
%N A325536 Sum of sums of omegas of parts over all integer partitions of n.
%C A325536 Also omega of the product of products of parts over all integer partitions of n.
%C A325536 The omega of n is A001222(n), the number of prime factors of n counted with multiplicity.
%F A325536 a(n) = A001222(A007870(n)).
%e A325536 The integer partitions of 5 are {(5), (4,1), (3,2), (3,1,1), (2,2,1), (2,1,1,1), (1,1,1,1,1)} with products {5,4,6,3,4,2,1} with product 2880 with omega 9, so a(5) = 9.
%t A325536 Table[Plus@@PrimeOmega/@Join@@IntegerPartitions[n],{n,0,30}]
%Y A325536 Cf. A001222, A006128, A006906, A007870, A066186, A066633, A145519, A215366, A325507.
%K A325536 nonn
%O A325536 0,4
%A A325536 _Gus Wiseman_, May 08 2019