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