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A022123
Fibonacci sequence beginning 3, 11.
1
3, 11, 14, 25, 39, 64, 103, 167, 270, 437, 707, 1144, 1851, 2995, 4846, 7841, 12687, 20528, 33215, 53743, 86958, 140701, 227659, 368360, 596019, 964379, 1560398, 2524777, 4085175, 6609952, 10695127, 17305079, 28000206, 45305285, 73305491, 118610776
OFFSET
0,1
FORMULA
G.f.: (3+8*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008
a(n) = 8*Fibonacci(n) + 3*Fibonacci(n+1). - Lechoslaw Ratajczak, Mar 14 2020
a(n) = a(n-1) + a(n-2). - Wesley Ivan Hurt, Jun 17 2021
MATHEMATICA
a={}; b=3; c=11; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 17 2008 *)
LinearRecurrence[{1, 1}, {3, 11}, 40] (* Harvey P. Dale, Jan 27 2012 *)
PROG
(Magma) [8*Fibonacci(n) + 3*Fibonacci(n+1): n in [0..40]]; // Vincenzo Librandi, Mar 17 2020
CROSSREFS
Sequence in context: A373955 A143029 A186701 * A303035 A273869 A289049
KEYWORD
nonn,easy
STATUS
approved