A034982 a(n)^2 is smallest square starting with a string of n 3's.

6, 58, 1825, 5774, 57735, 57735, 1825742, 57735027, 182574186, 5773502692, 57735026919, 57735026919, 5773502691896, 57735026918963, 577350269189626, 5773502691896258, 57735026918962577, 577350269189625765, 5773502691896257645, 57735026918962576451, 577350269189625764509, 5773502691896257645092

Offset: 1

Author

Patrick De Geest, Nov 15 1998

Keywords

• nonn
• base

Examples

			a(5)^2 = 57735^2 = {33333}30225.
		

Links

• Robert Israel, Table of n, a(n) for n = 1..996

Crossrefs

Cf. A034983.

Programs

Maple

f:= proc(n) local x, k, s;
  x:= (10^n-1)/3;
  for k from 0 do
    s:= ceil(sqrt(10^k*x));
    if s^2 < (x+1)*10^k then return s fi
  od
end proc:
map(f, [$1..30]); # Robert Israel, May 31 2023

Extensions

More terms from Francisco Salinas (franciscodesalinas(AT)hotmail.com), Dec 23 2001