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A167616 Fibonacci(n) - 5. 16
0, 3, 8, 16, 29, 50, 84, 139, 228, 372, 605, 982, 1592, 2579, 4176, 6760, 10941, 17706, 28652, 46363, 75020, 121388, 196413, 317806, 514224, 832035, 1346264, 2178304, 3524573, 5702882, 9227460, 14930347, 24157812, 39088164, 63245981, 102334150 (list; graph; refs; listen; history; text; internal format)
OFFSET

5,2

LINKS

G. C. Greubel, Table of n, a(n) for n = 5..1000

Index entries for linear recurrences with constant coefficients, signature (2, 0, -1).

FORMULA

a(n) = a(n-1) + a(n-2) + 5. - Zak Seidov, Jun 27 2010

a(5)=0, a(6)=3, a(7)=8, a(n) = 2*a(n-1) - a(n-3). - Harvey P. Dale, Dec 31 2011

G.f.: x^6*(3+2*x)/((1-x)(1-x-x^2)). - L. Edson Jeffery, Mar 17 2013

MATHEMATICA

Fibonacci[Range[5, 40]]-5 (* or *) LinearRecurrence[{2, 0, -1}, {0, 3, 8}, 40] (* Harvey P. Dale, Dec 31 2011 *)

PROG

(MAGMA) [(Fibonacci(n) - 5): n in [5..55]]; // Vincenzo Librandi, Apr 23 2011

(PARI) a(n)=fibonacci(n)-5 \\ Charles R Greathouse IV, Jul 01 2013

CROSSREFS

Cf. A000045, A001611, A000071, A157725, A001911, A157726, A006327, A157727, A157728, A157729, A167616.

Sequence in context: A131941 A009858 A169947 * A009439 A000233 A002624

Adjacent sequences:  A167613 A167614 A167615 * A167617 A167618 A167619

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 26 2010

STATUS

approved

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Last modified October 20 05:42 EDT 2017. Contains 293601 sequences.