A105828 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)=1, a(2)=3.

1, 3, 4, 7, 2, 5, 12, 9, 21, 8, 13, 6, 19, 11, 30, 41, 15, 26, 24, 50, 14, 36, 18, 10, 28, 38, 66, 20, 16, 48, 45, 93, 72, 165, 63, 102, 96, 198, 105, 23, 62, 85, 58, 27, 31, 46, 32, 78, 47, 43, 90, 117, 22, 95, 53, 42, 128, 40, 25, 65, 68, 124, 79, 129, 208, 100, 108, 184, 64