A257082 a(n) is one sixth of the total number of free ends of 6 line segments expansion at n iterations (see Comments lines for definition).

1, 2, 8, 12, 28, 52, 108, 216, 448

Offset: 1

Author

Kival Ngaokrajang, May 06 2015

Keywords

• nonn
• more

Comments

The initial pattern consists of 6 straight line segments which are the radii of a hexagon. The next generations are scaled down by a factor of tan(Pi/6) and rotated by an angle of Pi/6. Their free ends are the ends of elements that do not contact or cross the other ones. Overlaps among different generations are prohibited. See illustration in the links.

Links

• Kival Ngaokrajang, Illustration of initial terms

Crossrefs

Cf. A238549, A256641.