%I #25 Sep 08 2022 08:45:10
%S 1,4,14,44,141,447,1414,4472,14142,44721,141421,447213,1414213,
%T 4472135,14142135,44721359,141421356,447213595,1414213562,4472135954,
%U 14142135623,44721359549,141421356237,447213595499,1414213562373,4472135954999
%N a(n) = the largest integer whose square has n digits and first digit 1.
%H Vincenzo Librandi, <a href="/A083377/b083377.txt">Table of n, a(n) for n = 1..1000</a>
%H W. Hürlimann, <a href="http://www.ijpam.eu/contents/2004-11-1/4/4.pdf">Integer powers and Benford's law</a>, International Journal of Pure and Applied Mathematics, vol. 11, no. 1, pp. 39-46, 2004.
%H <a href="/index/Be#Benford">Index entries for sequences related to Benford's law</a>
%F a(n) = floor(sqrt(10^n/5)).
%o (Magma) [Floor(Sqrt(10^n/5)) : n in [1..30]]; // _Vincenzo Librandi_, Oct 01 2011
%Y Cf. A049416, A083378, A083379, A083380.
%K base,easy,nonn
%O 1,2
%A Werner S. Hürlimann (whurlimann(AT)bluewin.ch), Jun 05 2003
%E Edited by _Don Reble_, Nov 05 2005
%E Reference fixed by _Charles R Greathouse IV_, Oct 30 2009
%E More terms from _Vincenzo Librandi_, Oct 01 2011