A244147 Number of hexagons (side length 1) that intersect the circumference of a circle of radius n centered at a lattice point.

3, 9, 12, 15, 21, 24, 27, 39, 42, 39, 51, 54, 51, 63, 66, 69, 81, 78, 75, 99, 96, 93, 105, 114, 105, 123, 120, 117, 141, 138, 129, 147, 156, 153, 159, 162, 159, 177, 180, 171, 201, 192, 183, 201, 204, 201, 219, 216, 207, 237, 240, 225, 249, 258, 243, 267, 246, 261, 285, 276

Offset: 1

Author

Kival Ngaokrajang, Jun 21 2014

Keywords

• nonn

Comments

The pattern repeats itself at every 2*Pi/3 sector along the circumference. The hexagon count per one-third sector by rows can be arranged as an irregular triangle. The double hexagons in a row are symmetrically placed. See illustration.

Links

• Kival Ngaokrajang, Illustration of initial terms
• Kival Ngaokrajang, Small Basic program

Crossrefs

Cf. A242118, A242394, A242395.