cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A229087 a(n) = sigma(n) mod n - antisigma(n) mod n, where sigma(n) = A000203(n) = sum of divisor of n, antisigma(n) = A024816(n) = sum of non-divisors of n.

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%I A229087 #10 Oct 26 2013 15:38:32
%S A229087 0,1,-1,0,-3,-3,-5,2,-1,1,-9,2,-11,-1,3,6,-15,-3,-17,-6,1,-5,-21,12,
%T A229087 -13,-7,-1,-14,-27,9,-29,14,-3,-11,-9,-16,-35,-13,-5,0,-39,3,-41,14,
%U A229087 21,-17,-45,-16,-33,11,-9,14,-51,-3,-21,-12,-11,-23,-57,6,-59,-25
%N A229087 a(n) = sigma(n) mod n - antisigma(n) mod n, where sigma(n) = A000203(n) = sum of divisor of n, antisigma(n) = A024816(n) = sum of non-divisors of n.
%C A229087 Sequence contains anomalous increased frequency of values 14 (see A229115), a(n) = 14 for n = 32, 44, 52, 68, 76, 92, ... ).
%H A229087 Jaroslav Krizek, <a href="/A229087/b229087.txt">Table of n, a(n) for n = 1..10000</a>
%F A229087 a(n) = A000203(n) mod n - A024816(n) mod n = A054024(n) - A229110(n).
%e A229087 For n = 32; a(32 ) = sigma(32) mod 32 - antisigma(32) mod 32 = 63 mod 32 - 465 mod 32 = 31 - 17 = 14.
%Y A229087 Cf. A000203 (sigma(n)), A024816 (antisigma(n)).
%Y A229087 Cf. A054024 (sigma(n) mod n), A229110(antisigma(n) mod n).
%Y A229087 Cf. A229088 (numbers n such that sigma(n) mod n = antisigma(n) mod n).
%Y A229087 Cf. A229089 (numbers n such that sigma(n) mod n < antisigma(n) mod n).
%Y A229087 Cf. A229090 (numbers n such that sigma(n) mod n > antisigma(n) mod n).
%K A229087 sign
%O A229087 1,5
%A A229087 _Jaroslav Krizek_, Oct 24 2013