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A031546 that the continued fraction for sqrt(k) has even period and if the last term of the periodic part is deleted the central term is 48. 0
2306, 2322, 2326, 2338, 2342, 2354, 2358, 2374, 2386, 2406, 2414, 2434, 2446, 2462, 2498, 5187, 5223, 5241, 5262, 5268, 5277, 5349, 5361, 5367, 5403, 5433, 5469, 5493, 5529, 5541, 5556, 5577, 5583, 5601, 5613, 5622, 9220, 9236, 9244, 9260, 9276, 9332 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
MATHEMATICA
cf48Q[n_]:=Module[{c=Sqrt[n], cf, len}, cf=If[IntegerQ[c], 1, ContinuedFraction[ c][[2]]]; len=Length[cf]; EvenQ[ len]&&cf[[len/2]] == 48]; Select[ Range[ 10000], cf48Q] (* Harvey P. Dale, Jan 14 2013 *)
CROSSREFS
Sequence in context: A338617 A274578 A031774 * A250874 A247698 A247839
KEYWORD
nonn
AUTHOR
STATUS
approved

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Last modified March 19 01:34 EDT 2024. Contains 370952 sequences. (Running on oeis4.)