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A227980 Numbers n such that sigma(n-1) - sigma(n+1) >= sigma(n); where sigma(n) = A000203(n) = sum of the divisors of n. 2

%I #5 Aug 02 2013 14:21:56

%S 61,73,121,145,181,193,217,241,253,301,313,337,361,397,421,433,457,

%T 481,505,541,577,601,613,625,631,661,673,721,757,781,793,817,841,865,

%U 901,913,925,937,961,1009,1021,1051,1057,1081,1093,1141,1153,1171,1177,1201

%N Numbers n such that sigma(n-1) - sigma(n+1) >= sigma(n); where sigma(n) = A000203(n) = sum of the divisors of n.

%C There is no number n < 100000 such that sigma(n-1) - sigma(n+1) = sigma(n).

%C Complement of A227981.

%H Jaroslav Krizek, <a href="/A227980/b227980.txt">Table of n, a(n) for n = 1..2000</a>

%e Number 61 is in the sequence because sigma(60) - sigma(62) = 168 - 96 = 72 > sigma(61) = 62.

%Y Cf. A000203, A227981.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Aug 02 2013

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Last modified September 1 18:06 EDT 2024. Contains 375593 sequences. (Running on oeis4.)