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A007609
Values taken by the sigma functionA000203,listed with multiplicity and in ascending order.
20
1, 3, 4, 6, 7, 8, 12, 12, 13, 14, 15, 18, 18, 20, 24, 24, 24, 28, 30, 31, 31, 32, 32, 36, 38, 39, 40, 42, 42, 42, 44, 48, 48, 48, 54, 54, 56, 56, 57, 60, 60, 60, 62, 63, 68, 72, 72, 72, 72, 72, 74, 78, 80, 80, 84, 84, 84, 90, 90, 90, 91, 93, 96, 96, 96, 96, 98, 98
OFFSET
1,2
COMMENTS
A175192(a(n)) = 1,A054973(a(n)) >= 1. -Jaroslav Krizek,Mar 01 2010
a(n) is the median of the values ofA000203(m) from m=1 to m=2n-1. (This needs confirmation as it relies on the assumption thatA000203(n) is always bigger than the median of the valuesA000203(x) from x=1 to x=n.) -Chayim Lowen,May 27 2015
FORMULA
a(n) = sigma(A085790(n)). -Jinyuan Wang,Apr 15 2020
MAPLE
sort(select(`<=`, map(numtheory:-sigma, [$1..1000]), 1001)); #Robert Israel,Jun 04 2015
MATHEMATICA
terms = 68; ClearAll[t]; t[k_]:= t[k] = Sort[ Table[ DivisorSigma[1, n], {n, 1, k*terms}]][[1;; terms]]; t[k = 2]; While[t[k]!= t[k-1], k++]; t[k] (*Jean-François Alcover,Nov 21 2012 *)
With[{nn=80}, Take[Sort[DivisorSigma[1, Range[nn*100]]], nn]] (*Harvey P. Dale,Mar 09 2016 *)
PROG
(PARI) list(lim)=select(k->k<=lim, Set(apply(sigma, [1..lim\1]))) \\Charles R Greathouse IV,Mar 09 2014
CROSSREFS
KEYWORD
nonn,easy,nice
AUTHOR
STATUS
approved