The OEIS is supported by the many generous donors to the OEIS Foundation.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
Reminder: The OEIS is hiring a new managing editor, and the application deadline is January 26.
%I #31 Jul 10 2015 08:57:48
%S 1,2,8,12,28,52,108,216,448
%N 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).
%C 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.
%H Kival Ngaokrajang, <a href="/A257082/a257082.pdf">Illustration of initial terms</a>
%Y Cf. A238549, A256641.
%K nonn,more
%O 1,2
%A _Kival Ngaokrajang_, May 06 2015