A157726 a(n) = Fibonacci(n) + 3.

3, 4, 4, 5, 6, 8, 11, 16, 24, 37, 58, 92, 147, 236, 380, 613, 990, 1600, 2587, 4184, 6768, 10949, 17714, 28660, 46371, 75028, 121396, 196421, 317814, 514232, 832043, 1346272, 2178312, 3524581, 5702890, 9227468, 14930355, 24157820, 39088172, 63245989, 102334158

Offset

0,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..285

Ivana Jovović and Branko Malešević, Some enumerations of non-trivial composition of the differential operations and the directional derivative, Notes on Number Theory and Discrete Mathematics, Vol. 23, 2017, No. 1, 28-38.

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

Formula

G.f.: ( 3-2*x-4*x^2 ) / ( (x-1)*(x^2+x-1) ). - R. J. Mathar, Aug 08 2012

a(0) = 3, a(1) = 4, a(n) = a(n - 2) + a(n - 1) - 3. - Reinhard Zumkeller, Jul 30 2013

Mathematica

Fibonacci[Range[0, 45]]+3 (* Harvey P. Dale, Oct 26 2011 *)

Prog

(Magma) [ Fibonacci(n) + 3: n in [0..40] ]; // Vincenzo Librandi, Apr 24 2011
(PARI) a(n)=fibonacci(n)+3 \\ Charles R Greathouse IV, Jul 02 2013
(Haskell)
a157726 = (+ 3) . a000045
a157726_list = 3 : 4 : map (subtract 3)
                       (zipWith (+) a157726_list $ tail a157726_list)
-- Reinhard Zumkeller, Jul 30 2013

Crossrefs

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

Sequence in context: A054637 A120172 A113454 * A082223 A292351 A098181

Adjacent sequences: A157723 A157724 A157725 * A157727 A157728 A157729

Keyword

nonn,easy

Author

N. J. A. Sloane, Jun 26 2010

Status

approved