A098707 a(1) = 2 and for n>1: a(n) = smallest number m greater than a(n-1) with a digit d>1 occurring exactly once in decimal representations of m and a(n-1) and d=GCD(m,a(n-1)).

2, 12, 26, 28, 62, 72, 82, 92, 102, 112, 142, 152, 162, 168, 184, 204, 206, 208, 210, 214, 216, 218, 230, 234, 236, 238, 240, 254, 256, 258, 260, 266, 268, 270, 274, 276, 278, 280, 286, 288, 290, 294, 296, 298, 302, 312, 315, 318, 321, 324, 326, 328, 342, 345