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A326061 Sum of all other divisors of n except the largest proper divisor. a(1) = 0 by convention. 4

%I #7 Jun 06 2019 21:59:12

%S 0,2,3,5,5,9,7,11,10,13,11,22,13,17,19,23,17,30,19,32,25,25,23,48,26,

%T 29,31,42,29,57,31,47,37,37,41,73,37,41,43,70,41,75,43,62,63,49,47,

%U 100,50,68,55,72,53,93,61,92,61,61,59,138,61,65,83,95,71,111,67,92,73,109,71,159,73,77,99,102,85,129,79,146,94,85,83

%N Sum of all other divisors of n except the largest proper divisor. a(1) = 0 by convention.

%H Antti Karttunen, <a href="/A326061/b326061.txt">Table of n, a(n) for n = 1..20000</a>

%F a(n) = A000203(n) - A032742(n).

%F For n > 1, a(n) = n + A318505(n).

%o (PARI)

%o A032742(n) = if(1==n,n,n/vecmin(factor(n)[,1]));

%o A326061(n) = (sigma(n)-A032742(n));

%Y Cf. A000203, A032742, A318505, A326062.

%Y Cf. also A326053.

%K nonn

%O 1,2

%A _Antti Karttunen_, Jun 06 2019

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Last modified August 29 18:55 EDT 2024. Contains 375518 sequences. (Running on oeis4.)