OFFSET
1,2
COMMENTS
The records for the numbers of fractions are 4, 6, 8, 10, 12, 14, 16, 18, 22, 24, 26, 28, 30, 32, 34, ...
MATHEMATICA
odd[n_]:=If[OddQ[n], n, n+1]; a={}; amax=0; n=1; While[Length[a]<25, lst={}; k=2n/(2n+1); s1=0; While[k>0, s2=odd[Ceiling[1/k]]; If[s2==s1, s2+=2]; AppendTo[lst, s2]; k=k-1/s2; s1=s2]; len=Length[lst]; If[len>amax, amax=len; a=AppendTo[a, n]]; n++]; a
CROSSREFS
KEYWORD
nonn,more
AUTHOR
Amiram Eldar, May 30 2017
STATUS
approved