A105836 For n>2, a(n) not appeared previously is such that a(n-1)^2+4*a(n-2)*a(n) is a minimal square, a(1)=2, a(2)=3.

2, 3, 5, 8, 4, 12, 7, 10, 17, 6, 11, 21, 32, 13, 19, 14, 33, 20, 28, 24, 27, 42, 40, 18, 1, 39, 82, 72, 154, 43, 35, 78, 56, 22, 9, 31, 70, 69, 52, 25, 48, 73, 46, 119, 57, 26, 15, 36, 51, 50, 101, 60, 41, 54, 95, 61, 16, 45, 76, 121, 62, 59, 130, 141, 81, 222, 63, 87, 30, 117