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A157725 Fibonacci(n) + 2. 14
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 to sequences with 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

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Last modified April 24 04:20 EDT 2014. Contains 240947 sequences.