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Integers for which the periodic part of the continued fraction for the square root of n begins with 5.
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%I #6 Jul 08 2024 11:36:02

%S 27,67,104,125,174,201,231,262,295,331,368,407,408,449,492,537,538,

%T 585,634,635,685,686,739,794,795,851,852,911,912,972,973,1035,1036,

%U 1101,1102,1168,1169,1237,1238,1239,1309,1310,1382,1383,1457,1458,1459

%N Integers for which the periodic part of the continued fraction for the square root of n begins with 5.

%e The continued fraction for the square root of 104 is 10, {5, 20}.

%t Select[ Range[1500], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 5 & ]

%Y Cf. A065005.

%K easy,nonn

%O 1,1

%A _Robert G. Wilson v_, Nov 01 2001