A105835 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)=10.

1, 10, 11, 6, 5, 4, 9, 13, 22, 8, 14, 15, 26, 21, 17, 30, 47, 19, 28, 20, 33, 27, 60, 7, 2, 24, 56, 34, 12, 46, 36, 82, 50, 32, 18, 45, 38, 35, 3, 54, 57, 25, 42, 16, 58, 63, 106, 40, 66, 43, 23, 126, 72, 104, 70, 61, 39, 100, 51, 49, 156, 160, 31, 129, 130, 144, 162, 81, 68