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A027016 T(2n+1,n+1), T given by A027011. 1
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 (list; graph; refs; listen; history; text; internal format)
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

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Last modified September 22 17:16 EDT 2020. Contains 337291 sequences. (Running on oeis4.)