A031622 Numbers n such that continued fraction for sqrt(n) has odd period and central terms 34.

1157, 2713, 7421, 14449, 24106, 24730, 49453, 65761, 68869, 84389, 86138, 87314, 88498, 105337, 106637, 131485, 154193, 156554, 162133, 182101, 183809, 184666, 187249, 190721, 191594, 212329, 244877, 250841, 254857, 256877, 282922, 285050