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a(n) = floor(sqrt(5)*10^n)^2.
10

%I #16 Sep 08 2022 08:45:23

%S 4,484,49729,4999696,499969600,49999643236,4999995628489,

%T 499999965341041,49999999664599209,4999999997764872529,

%U 499999999955372691076,49999999999562191467001,4999999999996468370295001,499999999999959886546350009,49999999999999566363399000484

%N a(n) = floor(sqrt(5)*10^n)^2.

%C Largest square < 5*10^(2n).

%e a(1) = floor(sqrt(5)*10)^2 = 22^2 = 484.

%t With[{c=Sqrt[5]},(Floor[c 10^#])^2&/@Range[0,30]] (* _Harvey P. Dale_, Feb 27 2011 *)

%o (Magma) [Floor(5^(1/2)*10^n)^2: n in [0..150]]; // _Vincenzo Librandi_, Feb 05 2011

%Y Cf. A114761, A114762.

%K nonn

%O 0,1

%A _Amarnath Murthy_, Nov 17 2005

%E More terms from _Joshua Zucker_, May 05 2006