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 A157725 a(n) = Fibonacci(n) + 2. 17
 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 K.-W. Chen, Greatest Common Divisors in Shifted Fibonacci Sequences, J. Int. Seq. 14 (2011) # 11.4.7 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.: -(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: A065565 A309795 A017842 * A238394 A182503 A278288 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 February 26 12:43 EST 2020. Contains 332280 sequences. (Running on oeis4.)