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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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).

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%I A257082 #31 Jul 10 2015 08:57:48
%S A257082 1,2,8,12,28,52,108,216,448
%N 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).
%C A257082 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 A257082 Kival Ngaokrajang, <a href="/A257082/a257082.pdf">Illustration of initial terms</a>
%Y A257082 Cf. A238549, A256641.
%K A257082 nonn,more
%O A257082 1,2
%A A257082 _Kival Ngaokrajang_, May 06 2015