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Floor(antisigma(n) / n), where antisigma(n) = A024816(n) = the sum of the non-divisors of n that are between 1 and n.
3

%I #6 Sep 08 2022 08:46:08

%S 0,0,0,0,1,1,2,2,3,3,4,4,5,5,6,6,7,7,8,8,9,9,10,10,11,11,12,12,13,13,

%T 14,14,15,15,16,15,17,17,18,18,19,19,20,20,21,21,22,21,23,23,24,24,25,

%U 25,26,26,27,27,28,27,29,29,30,30,31,31,32,32,33,33,34

%N Floor(antisigma(n) / n), where antisigma(n) = A024816(n) = the sum of the non-divisors of n that are between 1 and n.

%C a(36) is first term such that a(n) < a(n-1) - see A244326.

%H Jaroslav Krizek, <a href="/A244325/b244325.txt">Table of n, a(n) for n = 1..10000</a>

%e For n=10: a(10) = floor(antisigma(10/10)) = floor(37/10)) = 3.

%o (Magma) [Floor((n*(n+1)div 2-SumOfDivisors(n))div n): n in [1..1000]]

%Y Cf. A024816, A244324, A244326.

%K nonn

%O 1,7

%A _Jaroslav Krizek_, Jun 25 2014

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