A206605 Fibonacci sequence beginning 14, 11.

14, 11, 25, 36, 61, 97, 158, 255, 413, 668, 1081, 1749, 2830, 4579, 7409, 11988, 19397, 31385, 50782, 82167, 132949, 215116, 348065, 563181, 911246, 1474427, 2385673, 3860100, 6245773, 10105873, 16351646, 26457519, 42809165, 69266684, 112075849, 181342533

Offset

1,1

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

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

Formula

a(n) = Fibonacci(n+5) + Fibonacci(n) + Fibonacci(n-6). - Greg Dresden and Aamen Muharram, Jul 22 2022

G.f.: x*(14 - 3*x)/(1 - x - x^2). - Stefano Spezia, Jul 22 2022

Mathematica

LinearRecurrence[{1, 1}, {14, 11}, 80]

Prog

(Magma) I:=[14, 11]; [n le 2 select I[n] else Self(n-1)+ Self(n-2): n in [1..40]]; // Vincenzo Librandi, Feb 16 2012

Crossrefs

Cf. A000045, A206564.

Sequence in context: A259531 A240815 A305938 * A004503 A340720 A166041

Adjacent sequences: A206602 A206603 A206604 * A206606 A206607 A206608

Keyword

nonn,easy

Author

Vladimir Joseph Stephan Orlovsky, Feb 16 2012

Status

approved