%I #15 Aug 08 2019 18:41:18
%S 1,5,28,98,291,806,2164,5729,15072,39542,103615,271370,710568,1860413,
%T 4870756,12751946,33385179,87403694,228826012,599074457,1568397480,
%U 4106118110,10749956983,28143752978,73681302096,192900153461,505019158444,1322157322034
%N T(2n+1,n+1), T given by A027011.
%H Nathaniel Johnston, <a href="/A027016/b027016.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (5,-8,5,-1).
%F For n>0, a(n) = Fibonacci(2n+6) - Fibonacci(2n+2) - 6n - 7.
%F From _Colin Barker_, Feb 17 2016: (Start)
%F a(n) = 5*a(n-1)-8*a(n-2)+5*a(n-3)-a(n-4) for n>4.
%F G.f.: (1+11*x^2-7*x^3+x^4) / ((1-x)^2*(1-3*x+x^2)).
%F (End)
%t LinearRecurrence[{5,-8,5,-1},{1,5,28,98,291},30] (* _Harvey P. Dale_, Aug 08 2019 *)
%o (PARI) Vec((1+11*x^2-7*x^3+x^4)/((1-x)^2*(1-3*x+x^2)) + O(x^40)) \\ _Colin Barker_, Feb 17 2016
%K nonn,easy
%O 0,2
%A _Clark Kimberling_
%E a(22) - a(25) from _Vincenzo Librandi_, Apr 18 2011
|