login
A206564
Fibonacci sequence beginning 14, 13.
3
14, 13, 27, 40, 67, 107, 174, 281, 455, 736, 1191, 1927, 3118, 5045, 8163, 13208, 21371, 34579, 55950, 90529, 146479, 237008, 383487, 620495, 1003982, 1624477, 2628459, 4252936, 6881395, 11134331, 18015726, 29150057, 47165783, 76315840, 123481623, 199797463
OFFSET
1,1
FORMULA
From Andrew Howroyd, Aug 28 2018: (Start)
a(n) = a(n-1) + a(n-2) for n > 2.
a(n) = 14*Fibonacci(n) - Fibonacci(n-1).
G.f.: x*(14 - x)/(1 - x - x^2).
(End)
MATHEMATICA
LinearRecurrence[{1, 1}, {14, 13}, 80]
PROG
(Magma) I:=[14, 13]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..40]]; // Vincenzo Librandi, Feb 17 2012
(PARI) Vec((14 - x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018
CROSSREFS
Sequence in context: A261305 A055125 A373160 * A076158 A174160 A199256
KEYWORD
nonn,easy
AUTHOR
STATUS
approved