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A027016 T(2n+1,n+1), T given by A027011. 1

%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

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Last modified April 24 11:14 EDT 2024. Contains 371936 sequences. (Running on oeis4.)