A108126 Maximal number of squares of side 1 in an ellipse of semiaxes n,2n.

3, 17, 43, 83, 137, 203, 279, 369, 471, 587, 715, 857, 1011, 1175, 1351, 1541, 1743, 1961, 2191, 2429, 2683, 2949, 3227, 3523, 3829, 4137, 4469, 4809, 5167, 5539, 5913, 6295, 6701, 7127, 7555, 7999, 8449, 8909, 9395, 9889, 10395, 10915

Offset: 1

Author

Pasquale CUTOLO (p.cutolo(AT)inwind.it), Jun 14 2007

Keywords

• easy
• nonn

Examples

			a(1)=3 since you cannot pack more than 3 unit-side squares in an ellipse of semiaxes 1,2
		

Crossrefs

Similar to A125228.

Programs

Mathematica

f[n_] := 2 Sum[IntegerPart[2 Sqrt[4 n^2 - (h - 1/2)^2]],
{h, 2, 2 n}] + IntegerPart[2 Sqrt[4 n^2 - 1/4]]; Array[f,42]