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 A046112 a(n) is smallest integral radius of circle centered at (0,0) having 8n-4 lattice points on its circumference; a(n)/2 is smallest half-integral radius circle centered at (1/2,0) having 4n-2 lattice points; a(n)/3 is smallest third-integral radius circle centered at (1/3,0) having 2n-1 lattice points. 7

%I #11 Mar 31 2012 12:38:46

%S 1,5,25,125,65,3125,15625,325,390625,1953125,1625,48828125,4225,1105,

%T 6103515625,30517578125,40625,21125,3814697265625,203125,

%U 95367431640625,476837158203125,5525,11920928955078125,274625

%N a(n) is smallest integral radius of circle centered at (0,0) having 8n-4 lattice points on its circumference; a(n)/2 is smallest half-integral radius circle centered at (1/2,0) having 4n-2 lattice points; a(n)/3 is smallest third-integral radius circle centered at (1/3,0) having 2n-1 lattice points.

%H Ray Chandler, <a href="/A046112/b046112.txt">Table of n, a(n) for n = 1..1439</a> (a(1440) exceeds 1000 digits).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/CircleLatticePoints.html">Circle Lattice Points</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple</a>

%Y Except for offset, same as A006339.

%Y Cf. A046109, A046110, A046111, A000328.

%K nonn

%O 1,2

%A _Eric W. Weisstein_

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