login
This site is supported by donations to The OEIS Foundation.

 

Logo

Annual Appeal: Please make a donation (tax deductible in USA) to keep the OEIS running. Over 5000 articles have referenced us, often saying "we discovered this result with the help of the OEIS".

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A157725 Fibonacci(n) + 2. 16
2, 3, 3, 4, 5, 7, 10, 15, 23, 36, 57, 91, 146, 235, 379, 612, 989, 1599, 2586, 4183, 6767, 10948, 17713, 28659, 46370, 75027, 121395, 196420, 317813, 514231, 832042, 1346271, 2178311, 3524580, 5702889, 9227467, 14930354, 24157819, 39088171, 63245988, 102334157 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

COMMENTS

a(n) = A226649(2*n+1) - A226649(2*n). - Reinhard Zumkeller, Jul 30 2013

LINKS

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

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

FORMULA

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

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

PROG

(MAGMA) [ Fibonacci(n) + 2: n in [0..40] ]; // Vincenzo Librandi, Apr 24 2011

(PARI) a(n)=fibonacci(n)+2 \\ Charles R Greathouse IV, Jul 02 2013

(Haskell)

a157725 = (+ 2) . a000045

a157725_list = 2 : 3 : map (subtract 2)

                       (zipWith (+) a157725_list $ tail a157725_list)

-- Reinhard Zumkeller, Jul 30 2013

CROSSREFS

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

Sequence in context: A094979 A065565 A017842 * A081536 A238394 A182503

Adjacent sequences:  A157722 A157723 A157724 * A157726 A157727 A157728

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, Jun 26 2010

STATUS

approved

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

License Agreements, Terms of Use, Privacy Policy .

Last modified December 4 21:09 EST 2016. Contains 278755 sequences.