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.
%I A255163 #16 Feb 22 2015 23:38:15 %S A255163 1,2,-12,168,-2160,27936,-361152,4669056,-60362496,780378624, %T A255163 -10088893440,130431264768,-1686241898496,21800077959168, %U A255163 -281835838291968,3643630995013632,-47105601999667200,608990795936169984,-7873156775230046208 %N A255163 Irrational parts of circle radii in nested circles and hexagons (see comment). %C A255163 Inspired by Vitruvian Man, but using hexagons instead of squares, starting with a hexagon whose sides are of length 4 (in some units). The radius of the circle is an integer in the real quadratic number field Q(sqrt(3)), namely R(n) = A(n) + B(n)*sqrt(3) with A(0)=2, A(n) = A255162(n), and B(0) = 1, B(n) = a(n). See illustrations in the links. %H A255163 Kival Ngaokrajang, <a href="/A255163/a255163_2.pdf">Illustration of initial terms</a>, <a href="/A255163/a255163_1.pdf">Vitruvian Man</a> %F A255163 Conjectures from _Colin Barker_, Feb 15 2015: (Start) %F A255163 a(n) = -12*a(n-1) + 12*a(n-2). %F A255163 G.f.: -(14*x+1) / (12*x^2-12*x-1). %F A255163 (End) %o A255163 (PARI){a=2;b=1;print1(b,", ");for(n=1,30,c=12*b-6*a;d=4*a-6*b;print1(d,", ");a=c;b=d)} %Y A255163 Cf. A174968, A170931, A094013, A255162. %K A255163 sign %O A255163 0,2 %A A255163 _Kival Ngaokrajang_, Feb 15 2015