A111667 Abundance of admirable numbers.
4, 2, 12, 12, 10, 12, 12, 8, 12, 4, 12, 56, 4, 12, 2, 12, 120, 12, 56, 12, 12, 12, 56, 78, 12, 12, 180, 12, 56, 12, 12, 56, 12, 8, 12, 12, 12, 2, 12, 56, 12, 56, 12, 12, 12, 12, 12, 56, 2, 12, 672, 12, 12, 12, 56, 12, 12, 8, 56, 12, 12, 12, 30, 12, 32, 12, 56, 12, 12, 12, 12, 56
Offset: 1
Examples
a(1)=4 because the first admirable number is 12 and sigma(12)-24 = 4.
Links
- Amiram Eldar, Table of n, a(n) for n = 1..10000
Programs
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Mathematica
fn[n_]:=DivisorSigma[1,n]-2*n;fn/@Select[Range[1155], MemberQ[Most[Divisors[#]], (DivisorSigma[1, #]-2*#)/2]&] (* James C. McMahon, Jun 02 2024 *)