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A326185 a(n) = sigma(n) - A057521(n) - n. 4

%I #8 Jul 12 2019 07:21:19

%S -1,0,0,-1,0,5,0,-1,-5,7,0,12,0,9,8,-1,0,12,0,18,10,13,0,28,-19,15,

%T -14,24,0,41,0,-1,14,19,12,19,0,21,16,42,0,53,0,36,24,25,0,60,-41,18,

%U 20,42,0,39,16,56,22,31,0,104,0,33,32,-1,18,77,0,54,26,73,0,51,0,39,24,60,18,89,0,90,-41,43,0,136,22,45,32,84,0

%N a(n) = sigma(n) - A057521(n) - n.

%H Antti Karttunen, <a href="/A326185/b326185.txt">Table of n, a(n) for n = 1..16384</a>

%H Antti Karttunen, <a href="/A326185/a326185.txt">Data supplement: n, a(n) computed for n = 1..65537</a>

%F a(n) = A326184(n) - n = sigma(n) - A057521(n) - n.

%F a(n) = A001065(n) - A057521(n).

%o (PARI)

%o A057521(n) = { my(f=factor(n)); prod(i=1, #f~, if(f[i, 2]>1, f[i, 1]^f[i, 2], 1)); }; \\ From A057521.

%o A326185(n) = ((sigma(n)-A057521(n))-n);

%Y Cf. A000203, A001065, A057521, A326184, A326186.

%Y Cf. also A326188.

%K sign

%O 1,6

%A _Antti Karttunen_, Jul 11 2019

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