

A031632


Numbers n such that continued fraction for sqrt(n) has odd period and central term 44.


0



485, 12569, 24074, 24698, 60637, 83113, 84269, 111781, 140914, 146213, 180137, 181837, 215737, 217597, 223225, 260629, 262673, 304226, 305329, 306434, 307541, 310874, 311989, 315346, 316469, 363133, 415577, 418157, 420745, 423341, 425945
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OFFSET

1,1


LINKS

Table of n, a(n) for n=1..31.


MATHEMATICA

cf44Q[n_]:=Module[{s=Sqrt[n], cf, len}, cf=If[IntegerQ[s], {1, 1}, ContinuedFraction[ s][[2]]]; len=Length[cf]; OddQ[len]&&cf[[(len+1)/2]] == 44]; Select[Range[426000], cf44Q] (* Harvey P. Dale, May 10 2020 *)


CROSSREFS

Sequence in context: A158326 A031722 A156774 * A097767 A031520 A235525
Adjacent sequences: A031629 A031630 A031631 * A031633 A031634 A031635


KEYWORD

nonn


AUTHOR

David W. Wilson


EXTENSIONS

First term 1937 removed by Georg Fischer, Jun 16 2019
First term (485) added and definition clarified by Harvey P. Dale, May 10 2020


STATUS

approved



