A031599 Numbers n such that continued fraction for sqrt(n) has odd period and central terms 11.

122, 809, 2581, 2785, 2890, 4217, 5353, 6949, 7114, 7621, 9698, 9893, 10289, 11177, 11597, 12461, 15325, 15817, 17429, 18218, 18754, 19298, 19946, 20506, 20789, 21361, 22234, 23833, 25693, 27085, 27737, 29065, 29741, 30202, 30425, 30545, 30890, 31237