%I
%S 1,2,3,3,0,8,21,34,34,0,89,233,377,377,0,987,2584,4181,4181,0,
%T 10946,28657,46368,46368,0,121393,317811,514229,514229,0,1346269,
%U 3524578,5702887,5702887,0,14930352,39088169,63245986,63245986
%N Binomial transform of 1, 1, 0, 1, 1 (periodically continued).
%C Shares many elements with A103311, as already indicated by the similarity of the two generating functions. First differences are essentially in A105371.  _R. J. Mathar_, May 02 2008
%C The longer of the two recurrences ensures that the sequence (like A133476) equals its 5th differences.  _R. J. Mathar_, May 02 2008
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (3,4,2,1).
%F O.g.f.:(x^2x+1)/(x^42*x^3+4*x^23*x+1). a(n)=5a(n1)10a(n2)+10a(n3)5a(n4)+2a(n5). a(n)=3a(n1)4a(n2)+2a(n3)a(n4).  _R. J. Mathar_, May 02 2008
%o (PARI) a=[1,2,3,3];for(i=1,99,a=concat(a,3*a[#a]4*a[#a1]+2*a[#a2]a[#a3]));a \\ _Charles R Greathouse IV_, Jun 02 2011
%Y Cf. A129929.
%K sign,easy
%O 0,2
%A _Paul Curtz_, May 01 2008
%E Edited by _R. J. Mathar_, May 02 2008
