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a(0) = 2, a(1) = 5, a(n) = a(n-2)^2 + a(n-1)*a(n-2).
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%I #7 Mar 27 2023 15:43:21

%S 2,5,14,95,1526,153995,237325046,36570584918795,

%T 8679172071277388541686,317402400594891309496469866526640395,

%U 2754790050599653555718873659288824463030582360923748728566

%N a(0) = 2, a(1) = 5, a(n) = a(n-2)^2 + a(n-1)*a(n-2).

%C Lim_{n->infinity} a(n)/a(n-1)^Phi = 1.

%t RecurrenceTable[{a[0]==2,a[1]==5,a[n]==a[n-2]^2+a[n-1]a[n-2]},a,{n,10}] (* _Harvey P. Dale_, Mar 10 2013 *)

%K nonn

%O 0,1

%A _Gerald McGarvey_, Aug 29 2004

%E Description corrected by _Michael Somos_, Sep 07 2004