A237604 -id:A237604

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A020349

Numbers k such that the continued fraction for sqrt(k) has period 10.

+10
4

43, 67, 86, 93, 115, 116, 118, 129, 154, 159, 161, 162, 186, 237, 242, 243, 245, 246, 259, 286, 292, 297, 339, 344, 345, 354, 375, 403, 411, 451, 452, 453, 459, 464, 465, 469, 475, 490, 494, 497, 515, 516, 522, 532, 534, 536, 543, 563, 583, 591, 594, 595, 598, 603, 616

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 1..1000

MATHEMATICA

cf10Q[n_]:=Module[{sr=Sqrt[n]}, !IntegerQ[sr]&&Length[ ContinuedFraction[ sr][[2]]]==10]; Select[Range[700], cf10Q] (* Harvey P. Dale, Mar 07 2012 *)

CROSSREFS

Contains A237604.

KEYWORD

nonn

AUTHOR

David W. Wilson

STATUS

approved

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