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%I #8 Jun 13 2015 00:51:32
%S 1,1,4,11,33,98,293,877,2628,7879,23629,70874,212601,637769,1913252,
%T 5739667,17218857,51656338,154968637,464905301,1394714916,4184143151,
%U 12552426869,37657276426,112971822513,338915456593,1016746352068
%N (L(n-2)+2*3^n)/5.
%C Binomial transform of A052964.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (4,-2,-3).
%F G.f.: (1-3x+2x^2)/((1-3x)(1-x-x^2)); a(n)=((1+sqrt(5))/2)^n(3/10-sqrt(5)/10)+((1-sqrt(5))/2)^n(3/10+sqrt(5)/10)+3^n*2/5; a(n)=sum{k=0..n, (-2*0^k-Fib(k-4))3^(n-k)}.
%F a(n) = A101220(1, 3, n+1) - A101220(1, 3, n). - _Ross La Haye_, Aug 05 2005
%F a(n) = A098703(n+1) - A098703(n). - _Ross La Haye_, Sep 11 2005
%K easy,nonn
%O 0,3
%A _Paul Barry_, Oct 01 2004
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