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A227983
Numbers n such that sigma(n+1) - sigma(n-1) < sigma(n); where sigma(n) = A000203(n) = sum of the divisors of n.
2
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 60, 61, 62, 63, 64, 65, 66, 67, 68, 69, 70, 71, 72, 73
OFFSET
1,1
COMMENTS
See A076530 - numbers n such that sigma(n+1) - sigma(n-1) = sigma(n).
Complement of union of A076530, A227982 and number 1.
LINKS
EXAMPLE
Number 60 is in the sequence because sigma(61) - sigma(59) = 62 - 60 = 2 < sigma(60) = 168.
MATHEMATICA
Flatten[Position[Partition[DivisorSigma[1, Range[100]], 3, 1], _?(#[[3]]- #[[1]]< #[[2]]&), 1, Heads->False]]+1 (* Harvey P. Dale, Jul 25 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Jaroslav Krizek, Aug 08 2013
STATUS
approved