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A326053 Sum of all other divisors of n except the largest square divisor: a(n) = sigma(n) - A008833(n).

%I A326053 #10 Jun 05 2019 21:53:43
%S A326053 0,2,3,3,5,11,7,11,4,17,11,24,13,23,23,15,17,30,19,38,31,35,23,56,6,
%T A326053 41,31,52,29,71,31,47,47,53,47,55,37,59,55,86,41,95,43,80,69,71,47,
%U A326053 108,8,68,71,94,53,111,71,116,79,89,59,164,61,95,95,63,83,143,67,122,95,143,71,159,73,113,99,136,95,167,79,170,40,125,83
%N A326053 Sum of all other divisors of n except the largest square divisor: a(n) = sigma(n) - A008833(n).
%H A326053 Antti Karttunen, <a href="/A326053/b326053.txt">Table of n, a(n) for n = 1..20000</a>
%H A326053 <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>
%F A326053 a(n) = A000203(n) - A008833(n).
%F A326053 a(n) = n + A326054(n).
%F A326053 a(n) >= A285309(n).
%o A326053 (PARI)
%o A326053 A008833(n) = (n/core(n));
%o A326053 A326053(n) = (sigma(n)-A008833(n));
%Y A326053 Cf. A000203, A008833, A285309, A326054, A326055.
%K A326053 nonn
%O A326053 1,2
%A A326053 _Antti Karttunen_, Jun 05 2019