A167616 a(n) = Fibonacci(n) - 5.

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

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, 45]]-5 (* or *) LinearRecurrence[{2, 0, -1}, {0, 3, 8}, 40] (* Harvey P. Dale, Dec 31 2011 *)

Prog

(Magma) [(Fibonacci(n) - 5): n in [5..45]]; // Vincenzo Librandi, Apr 23 2011
(PARI) a(n)=fibonacci(n)-5 \\ Charles R Greathouse IV, Jul 01 2013
(Sage) [fibonacci(n)-5 for n in (5..45)] # G. C. Greubel, Jul 13 2019
(GAP) List([5..45], n-> Fibonacci(n)-5) # G. C. Greubel, Jul 13 2019

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