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a(n) = Sum_{d|n, d<n} d*omega(d).
3

%I #5 Nov 15 2019 21:33:12

%S 0,0,0,2,0,5,0,6,3,7,0,21,0,9,8,14,0,26,0,31,10,13,0,53,5,15,12,41,0,

%T 72,0,30,14,19,12,90,0,21,16,79,0,94,0,61,47,25,0,117,7,52,20,71,0,89,

%U 16,105,22,31,0,230,0,33,61,62,18,138,0,91,26,132,0,218,0,39,63,101,18,160,0,175,39,43,0,304,22,45,32,157,0,297,20

%N a(n) = Sum_{d|n, d<n} d*omega(d).

%H Antti Karttunen, <a href="/A329375/b329375.txt">Table of n, a(n) for n = 1..65537</a>

%F a(n) = Sum_{d|n, d<n} d*A001221(d).

%F a(n) = A329354(n) - A328260(n).

%o (PARI) A329375(n) = sumdiv(n,d,(d<n)*omega(d)*d);

%Y Cf. A001221, A328260, A329354.

%K nonn

%O 1,4

%A _Antti Karttunen_, Nov 15 2019