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 A238429 #15 Mar 04 2014 12:04:39
%S A238429 1,1,0,1,0,0,0,0,0,-1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,
%T A238429 1,0,0,0,0,0,0,0,0,0,0,0,-2,0,0,0,0,0,3,0,0,0,0,0,-1,0,0,0,0,0,-3,0,0,
%U A238429 0,0,0,6,0,0,0,0,0,-4,0,0,0,0,0,-4,0,0,0,0,0,12,0,0,0,0,0,-10,0,0,0,0,0,-5,0,0,0,0,0,23,0,0,0,0,0,-25,0,0,0,0,0,-2,0,0,0,0,0,43,0,0,0,0,0,-57,0,0,0,0,0,12,0,0,0,0,0,74,0,0,0,0,0,-124,0,0,0,0,0,56,0,0,0,0,0,120,0,0,0,0,0,-258
%N A238429 Expansion of F(x) where F(x) = 1 + x / (1 - x^2 / F(x^2) ).
%C A238429 The sequence of nonzero terms is (apart from the term a(1)=1 here) the same as that for A218031, see the formula "F(x) - x = A(x^3)".
%F A238429 G.f.: F(x) = 1+x/ (1-x^2/ (1+x^2/ (1-x^4/ (1+x^4 /(1-x^8/ (1+x^8/ (1-x^16/ ... ))))))) (continued fraction).
%F A238429 F(x) - x = A(x^3) where A(x) is the g.f. of A218031. Note that for G(x) = F(x) - x we have G(x) = 1 + x^3/G(x^2) = 1 + x^3/(1 + x^6 / G(x^2) ) = ... = 1 + x^3/(1 + x^6 / (1 + x^12 / (1 + x^24 / (...) ) ) ) = A(x^3).
%o A238429 (PARI)
%o A238429 N=166; R=O('x^N); x='x+R;
%o A238429 F = 1; for (k=1, N+1, F = 1 + x / (1 - x^2 / subst(F, 'x, 'x^2) ) + R; );
%o A238429 Vec(F)
%K A238429 sign
%O A238429 0,46
%A A238429 _Joerg Arndt_, Feb 28 2014