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A087058 Smallest square number greater than 2*n^2. 6

%I

%S 4,9,25,36,64,81,100,144,169,225,256,289,361,400,484,529,625,676,729,

%T 841,900,1024,1089,1156,1296,1369,1521,1600,1764,1849,1936,2116,2209,

%U 2401,2500,2601,2809,2916,3136,3249,3364,3600,3721,3969,4096,4356,4489

%N Smallest square number greater than 2*n^2.

%F A087058(n) = A087057(n)^2 = (1 + A001951(n))^2 = (1 + floor[n*sqrt(2)])^2

%e A087058(10) = 225 because 225 is the smallest square number greater than 2*10^2 = 200.

%t Table[Ceiling[Sqrt[2n^2]]^2,{n,50}] (* _Harvey P. Dale_, Jan 22 2015 *)

%Y Cf. A001951, A087055, A087056, A087057, A087059, A087060.

%K easy,nonn

%O 1,1

%A _Jens Voß_, Aug 07 2003

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Last modified September 22 15:04 EDT 2021. Contains 347607 sequences. (Running on oeis4.)