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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.
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%I #7 Jun 17 2018 19:00:35

%S 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,

%T 66,20,16,48,45,93,72,165,63,102,96,198,105,23,62,85,58,27,31,46,32,

%U 78,47,43,90,117,22,95,53,42,128,40,25,65,68,124,79,129,208,100,108,184,64

%N 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.

%H Ivan Neretin, <a href="/A105828/b105828.txt">Table of n, a(n) for n = 1..10000</a>

%Y Cf. A105822, A105829-A105836.

%K nonn,look

%O 1,2

%A _Zak Seidov_, Apr 22 2005