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%I #11 Jun 13 2015 00:51:15
%S 1,3,10,35,126,461,1702,6315,23494,87533,326382,1217483,4542526,
%T 16950573,63255670,236063915,880983606,3287837741,12270301822,
%U 45793238475,170902389934,637815796973,2380359749382,8883621103403
%N Expansion of (1-3x+x^2)/((1-2x)(1-4x+x^2)).
%C Binomial transform of A057960.
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (6,-9,2).
%F a(0)=1, a(1)=3, a(2)=10, a(n)=6a(n-1)-9a(n-2)+2a(n-3), n>2.
%F a(n) = 2^n/3+(2+sqrt(3))(2+sqrt(3))^n/6+(2-sqrt(3))(2-sqrt(3))^n/6.
%F a(n) = A087944(n+1)/2.
%K easy,nonn
%O 0,2
%A _Paul Barry_, Sep 16 2003
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