A326054 - OEIS

%I #9 Jun 05 2019 21:53:50

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

%H Antti Karttunen, <a href="/A326054/b326054.txt">Table of n, a(n) for n = 1..16384</a>

%H Antti Karttunen, <a href="/A326054/a326054.txt">Data supplement: n, a(n) computed for n = 1..65537</a>

%H <a href="/index/Si#SIGMAN">Index entries for sequences related to sigma(n)</a>

%F a(n) = A326053(n) - n = (A000203(n) - A008833(n)) - n.

%F a(n) = A326055(n) - A033879(n).

%o (PARI)

%o A008833(n) = (n/core(n));

%o A326053(n) = (sigma(n)-A008833(n));

%o A326054(n) = (A326053(n)-n);

%Y Cf. A000203, A008833, A033879, A326053, A326055.

%K sign

%O 1,6

%A _Antti Karttunen_, Jun 05 2019