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.

1, 5, 25, 125, 65, 3125, 15625, 325, 390625, 1953125, 1625, 48828125, 4225, 1105, 6103515625, 30517578125, 40625, 21125, 3814697265625, 203125, 95367431640625, 476837158203125, 5525, 11920928955078125, 274625

Offset

1,2

Links

Ray Chandler, Table of n, a(n) for n = 1..1439 (a(1440) exceeds 1000 digits).

Eric Weisstein's World of Mathematics, Circle Lattice Points

Eric Weisstein's World of Mathematics, Pythagorean Triple

Crossrefs

Except for offset, same as A006339.

Cf. A046109, A046110, A046111, A000328.

Sequence in context: A036156 A097756 A006339 * A032534 A036151 A271380

Adjacent sequences: A046109 A046110 A046111 * A046113 A046114 A046115

Keyword

nonn

Author

Eric W. Weisstein

Status

approved