A065009 Integers for which the periodic part of the continued fraction for the square root of n begins with 6.
10, 38, 84, 103, 148, 173, 230, 261, 294, 330, 367, 406, 448, 491, 536, 583, 584, 633, 684, 737, 738, 793, 850, 909, 910, 970, 971, 1034, 1099, 1100, 1166, 1167, 1236, 1307, 1308, 1380, 1381, 1455, 1456, 1533, 1534, 1612, 1613, 1693, 1694, 1777, 1778
Offset: 1
Examples
The continued fraction for the square root of 84 is 9, {6, 18}.
Crossrefs
Cf. A065005.
Programs
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Mathematica
Select[ Range[1500], First[ Last[ ContinuedFraction[ Sqrt[ # ]]]] == 6 & ]