A031664 Numbers n such that continued fraction for sqrt(n) has odd period and central terms 76.

5777, 119797, 176521, 250169, 327409, 420193, 422789, 425393, 426698, 530345, 533261, 643645, 653305, 766154, 774929, 780218, 783754, 905026, 906929, 910741, 914561, 918389, 920306, 926069, 1061629, 1219657, 1224077, 1232941, 1241837