%I
%S 1,0,1,0,1,5,14,35,81,180,389,825,1726,3575,7349,15020,30561,
%T 61965,125294,252795,509161,1024100,2057549,4130225,8284926,
%U 16609455,33282989,66669660,133507081,267285605,535010414,1070731475,2142612801,4287086100
%N Inverse binomial transform of A014217.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (3,1,2)
%F a(n) = (1)^(n+1) * A027974(n4) for n > 4.
%F G.f.: (1+3*x+2*x^2+x^3)/((1+2*x)*(1+xx^2)).  _R. J. Mathar_, Sep 22 2008
%F a(n) = (1)^(n+1)*(2^(n1)F(n+1)F(n1)), where F(n) = A000045(n), for n>=1, with a(0)=1.  _Johannes W. Meijer_, Aug 15 2010
%F a(n) = 3*a(n1)  a(n2) + 2*a(n3).  _Wesley Ivan Hurt_, Oct 06 2017
%Y Cf. A000045, A014217, A027974.
%K sign,easy
%O 0,6
%A _Paul Curtz_, Sep 21 2008
%E Edited and extended by _R. J. Mathar_, Sep 22 2008
