OFFSET
1,1
COMMENTS
Conjecture: the sequence is infinite.
MATHEMATICA
hmax=30; A046955=Join[{1}, Numerator[Convergents[2Pi, hmax]]]; a={}; For[h=2, h<=hmax, h++, k=Intersection[List[Floor[Last[x/.N[Solve[Pi*x^2 - 1 - Part[A046955, h] x == 0, x], 2*hmax]]]], List[Ceiling[Last[x/.N[Solve[Pi*x^2 + 1 - Part[A046955, h] x == 0, x], 2*hmax]]]]]; If[k!={} && Ceiling[k*Pi - 1/k] == Floor[k*Pi + 1/k], AppendTo[a, Part[A046955, h]]]]; a
CROSSREFS
KEYWORD
nonn
AUTHOR
Alexander R. Povolotsky and Stefano Spezia, Apr 27 2023
STATUS
approved