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%I #14 Dec 24 2015 18:50:09
%S 1,1,-1,3,-1,-1,7,-9,7,7,-25,39,-25,-25,103,-153,103,103,-409,615,
%T -409,-409,1639,-2457,1639,1639,-6553,9831,-6553,-6553,26215,-39321,
%U 26215,26215,-104857,157287,-104857,-104857,419431
%N Inverse binomial transform of 1, 2, 2, 4, 10, 20, ... = A100088.
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (-1,0,2)
%F a(n)=[3+(1-2i)(i-1)^n+(1+2i)(-1-i)^n]/5 where i=sqrt(-1). - _R. J. Mathar_, Apr 25 2008
%F O.g.f.: -(1+2x)/((1+2x+2x^2)(-1+x)). - _R. J. Mathar_, Apr 25 2008
%F a(n+1)-a(n)=A090132(n+1). - _R. J. Mathar_, Apr 25 2008
%F G.f.: Q(0)*(1+2*x)/(2- 2*x), where Q(k) = 1 + 1/(1 - x*(4*k+2 +2*x)/(x*(4*k+4 +2*x) - 1/Q(k+1) )); (continued fraction). - _Sergei N. Gladkovskii_, Jan 01 2014
%K sign,easy
%O 0,4
%A _Paul Curtz_, Apr 20 2008
%E More terms from _R. J. Mathar_, Apr 25 2008
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