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A013650 Period of continued fraction for sqrt(n) contains exactly three 1's. 1

%I #12 Mar 14 2015 21:28:53

%S 7,32,75,88,136,215,279,280,312,403,427,560,711,736,851,880,923,1007,

%T 1067,1272,1311,1363,1431,1495,1736,1855,1887,1955,1976,1995,2128,

%U 2159,2184,2272,2511,2567,2640,2728,2880,3055,3211,3560,3751,3811,3927,3984

%N Period of continued fraction for sqrt(n) contains exactly three 1's.

%D Kenneth H. Rosen, Elementary Number Theory and Its Applications, Addison-Wesley, 1984, p. 426 (but beware of errors!).

%t Select[ Range@ 1900, !IntegerQ[ Sqrt@ #] && Count[ ContinuedFraction[ Sqrt@ #][[2]], 1] == 3 &] (* _Robert G. Wilson v_, Jul 03 2011 *)

%K nonn

%O 1,1

%A _Clark Kimberling_

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Last modified March 28 10:55 EDT 2024. Contains 371241 sequences. (Running on oeis4.)