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Integers for which the periodic part of the continued fraction for the square root of n begins with 7.
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%I #6 Jul 08 2024 11:35:52

%S 51,124,200,229,329,366,447,490,535,632,683,736,792,849,908,969,1033,

%T 1098,1165,1234,1235,1306,1379,1454,1531,1532,1611,1692,1775,1776,

%U 1860,1861,1948,2037,2128,2129,2221,2222,2317,2414,2415,2513,2514,2614,2615

%N Integers for which the periodic part of the continued fraction for the square root of n begins with 7.

%e The continued fraction for the square root of 84 is 7, {7, 14}.

%t Select[ Range[3000], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 7 & ]

%Y Cf. A065005.

%K easy,nonn

%O 1,1

%A _Robert G. Wilson v_, Nov 01 2001