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

1, 5, 28, 98, 291, 806, 2164, 5729, 15072, 39542, 103615, 271370, 710568, 1860413, 4870756, 12751946, 33385179, 87403694, 228826012, 599074457, 1568397480, 4106118110, 10749956983, 28143752978, 73681302096, 192900153461, 505019158444, 1322157322034

Offset

0,2

Links

Nathaniel Johnston, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-8,5,-1).

Formula

For n>0, a(n) = Fibonacci(2n+6) - Fibonacci(2n+2) - 6n - 7.

From Colin Barker, Feb 17 2016: (Start)

a(n) = 5*a(n-1)-8*a(n-2)+5*a(n-3)-a(n-4) for n>4.

G.f.: (1+11*x^2-7*x^3+x^4) / ((1-x)^2*(1-3*x+x^2)).

(End)

Mathematica

LinearRecurrence[{5, -8, 5, -1}, {1, 5, 28, 98, 291}, 30] (* Harvey P. Dale, Aug 08 2019 *)

Prog

(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

Crossrefs

Sequence in context: A257093 A225261 A088727 * A034582 A124133 A261670

Adjacent sequences: A027013 A027014 A027015 * A027017 A027018 A027019

Keyword

nonn,easy

Author

Clark Kimberling

Extensions

a(22) - a(25) from Vincenzo Librandi, Apr 18 2011

Status

approved