A069820 (a(n)^2-1)/(n^2-1) is the smallest integer>1.

4, 5, 11, 7, 29, 17, 55, 31, 89, 19, 131, 29, 64, 97, 86, 127, 305, 71, 113, 89, 139, 65, 551, 79, 649, 155, 755, 41, 869, 161, 340, 511, 76, 271, 519, 305, 443, 151, 493, 71, 1721, 155, 386, 461, 424, 367, 2255, 401, 832, 599, 902, 649, 529, 377, 419, 407