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A326054 a(n) = A326053(n) - n, where A326053 gives the sum of all other divisors of n except the largest square divisor.

%I A326054 #9 Jun 05 2019 21:53:50
%S A326054 -1,0,0,-1,0,5,0,3,-5,7,0,12,0,9,8,-1,0,12,0,18,10,13,0,32,-19,15,4,
%T A326054 24,0,41,0,15,14,19,12,19,0,21,16,46,0,53,0,36,24,25,0,60,-41,18,20,
%U A326054 42,0,57,16,60,22,31,0,104,0,33,32,-1,18,77,0,54,26,73,0,87,0,39,24,60,18,89,0,90,-41,43,0,136,22,45,32,88,0,135,20
%N A326054 a(n) = A326053(n) - n, where A326053 gives the sum of all other divisors of n except the largest square divisor.
%H A326054 Antti Karttunen, <a href="/A326054/b326054.txt">Table of n, a(n) for n = 1..16384</a>
%H A326054 Antti Karttunen, <a href="/A326054/a326054.txt">Data supplement: n, a(n) computed for n = 1..65537</a>
%H A326054 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A326054 a(n) = A326053(n) - n = (A000203(n) - A008833(n)) - n.
%F A326054 a(n) = A326055(n) - A033879(n).
%o A326054 (PARI)
%o A326054 A008833(n) = (n/core(n));
%o A326054 A326053(n) = (sigma(n)-A008833(n));
%o A326054 A326054(n) = (A326053(n)-n);
%Y A326054 Cf. A000203, A008833, A033879, A326053, A326055.
%K A326054 sign
%O A326054 1,6
%A A326054 _Antti Karttunen_, Jun 05 2019