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A227982 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 #8 Mar 31 2014 16:39:44

%S 47,59,83,107,119,143,167,179,215,239,251,263,299,335,359,383,395,419,

%T 431,467,479,503,527,539,587,599,623,629,647,659,671,719,755,767,779,

%U 839,863,887,899,923,935,959,983,1007,1019,1055,1079,1091,1103,1139,1175

%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 See A076530 - numbers n such that sigma(n+1) - sigma(n-1) = sigma(n).

%C Complement of union of A076530, A227983 and number 1.

%H Jaroslav Krizek, <a href="/A227982/b227982.txt">Table of n, a(n) for n = 1..2000</a>

%e Number 59 is in the sequence because sigma(60) - sigma(58) = 168 - 90 = 78 > sigma(59) = 60.

%t Flatten[Position[Partition[DivisorSigma[1,Range[1200]],3,1],_?(Last[#]- First[#]> #[[2]]&),{1},Heads->False]]+1 (* _Harvey P. Dale_, Mar 31 2014 *)

%Y Cf. A076530, A000203, A227983.

%K nonn

%O 1,1

%A _Jaroslav Krizek_, Aug 08 2013

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Last modified April 28 04:16 EDT 2024. Contains 372020 sequences. (Running on oeis4.)