The OEIS mourns the passing of Jim Simons and is grateful to the Simons Foundation for its support of research in many branches of science, including the OEIS.
login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157727 a(n) = Fibonacci(n) + 4. 13

%I #22 Sep 08 2022 08:45:42

%S 4,5,5,6,7,9,12,17,25,38,59,93,148,237,381,614,991,1601,2588,4185,

%T 6769,10950,17715,28661,46372,75029,121397,196422,317815,514233,

%U 832044,1346273,2178313,3524582,5702891,9227469,14930356,24157821,39088173,63245990,102334159

%N a(n) = Fibonacci(n) + 4.

%H Vincenzo Librandi, <a href="/A157727/b157727.txt">Table of n, a(n) for n = 0..285</a>

%H Ivana Jovović and Branko Malešević, <a href="http://nntdm.net/volume-23-2017/number-1/28-38/">Some enumerations of non-trivial composition of the differential operations and the directional derivative</a>, Notes on Number Theory and Discrete Mathematics, Vol. 23, 2017, No. 1, 28-38.

%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (2, 0, -1).

%F a(0) = 4, a(1) = 5, a(n) = a(n - 2) + a(n - 1) - 4. - _Reinhard Zumkeller_, Jul 30 2013

%t Fibonacci[Range[0,50]]+4 (* _Harvey P. Dale_, Jun 17 2011 *)

%o (Magma) [ Fibonacci(n) + 4: n in [0..40] ]; // _Vincenzo Librandi_, Apr 24 2011

%o (PARI) a(n)=fibonacci(n)+4 \\ _Charles R Greathouse IV_, Jul 02 2013

%o (Haskell)

%o a157727 = (+ 4) . a000045

%o a157727_list = 4 : 5 : map (subtract 4)

%o (zipWith (+) a157727_list $ tail a157727_list)

%o -- _Reinhard Zumkeller_, Jul 30 2013

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

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_, Jun 26 2010

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recents
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified May 15 20:14 EDT 2024. Contains 372549 sequences. (Running on oeis4.)