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A049675 a(n) = (2*F(3*n) - F(n))/3, where F=A000045 (the Fibonacci sequence). 1
0, 1, 5, 22, 95, 405, 1720, 7293, 30905, 130934, 554675, 2349689, 9953520, 42163913, 178609405, 756601910, 3205017655, 13576673517, 57511713320, 243623529381, 1032005835025, 4371646876246, 18518593350955 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (5,-2,-5,-1).

FORMULA

G.f.: -x*(x-1)*(1+x) / ( (x^2+4*x-1)*(x^2+x-1) ). - R. J. Mathar, Nov 10 2013

MATHEMATICA

Table[(2Fibonacci[3n]-Fibonacci[n])/3, {n, 0, 30}] (* Harvey P. Dale, Dec 08 2012 *)

LinearRecurrence[{5, -2, -5, -1}, {0, 1, 5, 22}, 30] (* G. C. Greubel, Dec 02 2017 *)

PROG

(PARI) for(n=0, 30, print1((2*fibonacci(3*n) - fibonacci(n))/3, ", ")) \\ G. C. Greubel, Dec 02 2017

(MAGMA) [(2*Fibonacci(3*n) - Fibonacci(n))/3: n in [0..30]]; // G. C. Greubel, Dec 02 2017

CROSSREFS

Sequence in context: A049652 A026877 A128746 * A053154 A141222 A127360

Adjacent sequences:  A049672 A049673 A049674 * A049676 A049677 A049678

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified April 24 16:26 EDT 2019. Contains 322430 sequences. (Running on oeis4.)