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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.

A325515 Sum of sums of omegas of the parts over all strict integer partitions of n.

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%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