# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a238430 Showing 1-1 of 1 %I A238430 #5 Mar 01 2014 02:11:35 %S A238430 1,1,1,1,2,3,4,6,9,13,18,26,38,54,77,111,160,229,328,472,678,972,1396, %T A238430 2006,2880,4134,5937,8527,12242,17577,25242,36246,52043,74729,107308, %U A238430 154084,221246,317692,456182,655032,940564,1350572,1939304,2784660,3998522,5741532,8244326,11838106,16998472,24408302 %N A238430 Expansion of F(x) where F(x) = 1 + x / (1 - x / F(-x^2) ). %C A238430 What does this sequence count? %C A238430 a(n+1)/a(n) tends to 1.4359108952505909... - _Vaclav Kotesovec_, Feb 28 2014 %o A238430 (PARI) %o A238430 N=66; R=O('x^N); x='x+R; %o A238430 F = 1; for (k=1, N+1, F = 1 + x / (1 - x / subst(F, 'x, -'x^2) ) + R; ); %o A238430 v=Vec(F) %K A238430 nonn %O A238430 0,5 %A A238430 _Joerg Arndt_, Feb 28 2014 # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE