OFFSET
1,1
COMMENTS
a(1) = 1. Each subsequent term is chosen so as to minimize the peak to peak distance of the absolute values of the discrete Fourier transform of the partial sequence. If the peak to peak distance doesn't change with different choices for the next term, then the complement of the previous term is used. The algorithm works on a sequence of 1's and -1's then, as a last step, all -1's are replaced by 0's.
This sequence is similar to A282339 where it is considered the variance instead of the peak to peak distance.
MATHEMATICA
peaktopeakfourier[x_] := Max[Abs[Fourier[x]]] - Min[Abs[Fourier[x]]];
a = {1}; (*First element*)
nmax = 120; (*number of appended elements*)
Do[If[peaktopeakfourier[Append[a, 1]] <
peaktopeakfourier[Append[a, -1]], AppendTo[a, 1],
If[peaktopeakfourier[Append[a, 1]] >
peaktopeakfourier[Append[a, -1]], AppendTo[a, -1],
AppendTo[a, -a[[-1]]]]], {j, nmax}];
a = a /. {-1 -> 0};
print[a]
CROSSREFS
KEYWORD
nonn,base
AUTHOR
Andres Cicuttin, Feb 12 2017
STATUS
approved