%I #22 Sep 10 2017 19:18:57

%S 5,11,29,79,216,590,1609,4381,11911,32339,87690,237496,642509,1736399,

%T 4688081,12645655,34080924,91775426,246948241,663999649,1784138875,

%U 4790751131,12856028814,34478744044,92416515221

%N Transform of A059502 applied to sequence 5,6,7,...

%C The fifth row of the array A059503.

%H G. C. Greubel, <a href="/A059508/b059508.txt">Table of n, a(n) for n = 1..1000</a>

%H <a href="/index/Bo#boustrophedon">Index entries for sequences related to boustrophedon transform</a>

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (6,-11,6,-1).

%F From _Colin Barker_, Nov 30 2012: (Start)

%F a(n) = 6*a(n-1) - 11*a(n-2) + 6*a(n-3) - a(n-4).

%F G.f.: x*(1-x)*(4*x^2-14*x+5)/(x^2-3*x+1)^2. (End)

%F a(n) = ((3 - n)*Fibonacci(2*n) + (20 + 3*n)*Fibonacci(2*n - 1))/5. - _G. C. Greubel_, Sep 10 2017

%t Rest[CoefficientList[Series[x*(1-x)*(4*x^2 - 14*x + 5)/(x^2 - 3*x + 1)^2, {x, 0, 50}], x]] (* _G. C. Greubel_, Sep 10 2017 *)

%o (PARI) Vec(-x*(x-1)*(4*x^2-14*x+5)/(x^2-3*x+1)^2 + O(x^40)) \\ _Michel Marcus_, Sep 09 2017

%Y Cf. A000667, A059216, A059219, A059502, A059503.

%K easy,nonn

%O 1,1

%A _Floor van Lamoen_, Jan 19 2001