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A031620
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Numbers k such that the continued fraction for sqrt(k) has odd period and if the last term of the periodic part is deleted the two central terms are both 32.
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0
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13274, 21106, 21397, 21985, 44269, 58789, 75914, 77573, 78689, 93997, 96461, 114685, 116041, 118777, 120157, 139658, 143413, 162229, 163034, 163841, 167906, 169546, 170369, 196093, 219865, 227417, 229325, 249962, 250961, 252965, 253970
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OFFSET
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1,1
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LINKS
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MATHEMATICA
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cf32Q[n_]:=Module[{s=Sqrt[n], cf, len}, cf=If[IntegerQ[s], {1, 1}, ContinuedFraction[ s][[2]]]; len=Length[cf]; OddQ[len]&&cf[[Floor[len/2]]]==cf[[Ceiling[len/2]]] == 32]; Select[ Range[254000], cf32Q] (* Harvey P. Dale, May 01 2022 *)
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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