A067561 Radii n of circles with integer radius that can approximately be squared integrally: the floor or ceiling of Pi*n^2 is an integer square.

1, 22, 167, 334, 4821, 328663, 657326, 18796631, 37593262, 56389893, 75186524, 1591338537

Offset: 1

Author

Joseph L. Pe, Jan 29 2002

Keywords

• nonn
• more

Comments

a(13) > 5*10^9. - Sean A. Irvine, Dec 19 2023

Examples

			Ceiling(Pi*22^2) = 39^2, so 22 is a term of the sequence.
		

Programs

Mathematica

Do[m = Pi*i^2; r = IntegerQ[Sqrt[Floor[m]]]; s = IntegerQ[Sqrt[Ceiling[m]]]; If[r || s, Print[i]], {i, 1, 10^6}]

Extensions

More terms from Jason Earls, May 19 2002

a(12) from Sean A. Irvine, Dec 19 2023