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 A325515 #4 May 08 2019 22:20:33 %S A325515 0,0,1,2,3,5,8,11,14,22,29,37,50,63,81,106,129,160,203,246,303,373, %T A325515 449,541,654,782,932,1116,1322,1559,1848,2167,2537,2978,3470,4041, %U A325515 4706,5449,6303,7291,8402,9665,11117,12744,14592,16708,19062,21730,24757,28141 %N A325515 Sum of sums of omegas of the parts over all strict integer partitions of n. %C A325515 Also omega of the product of products of parts over all strict integer partitions of n. %C A325515 The omega of n is A001222(n), the number of prime factors of n counted with multiplicity. %F A325515 a(n) = A001222(A325504(n)). %t A325515 Table[Sum[Total[PrimeOmega/@s],{s,Select[IntegerPartitions[n],UnsameQ@@#&]}],{n,0,30}] %Y A325515 Cf. A001222, A003963, A015716, A015723, A022629, A056239, A066189, A112798, A147655, A246867, A325504, A325506. %K A325515 nonn %O A325515 0,4 %A A325515 _Gus Wiseman_, May 07 2019