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A206641 Fibonacci sequence beginning 14, 9. 1
14, 9, 23, 32, 55, 87, 142, 229, 371, 600, 971, 1571, 2542, 4113, 6655, 10768, 17423, 28191, 45614, 73805, 119419, 193224, 312643, 505867, 818510, 1324377, 2142887, 3467264, 5610151, 9077415, 14687566, 23764981, 38452547, 62217528, 100670075, 162887603 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
LINKS
FORMULA
a(n) = 14*A000045(n) - 5*A000045(n-2). - R. J. Mathar, Feb 18 2012
From Andrew Howroyd, Aug 28 2018: (Start)
a(n) = a(n-1) + a(n-2) for n > 2.
a(n) = 14*Fibonacci(n) - 5*Fibonacci(n-1).
G.f.: x*(14 - 5*x)/(1 - x - x^2). (End)
MATHEMATICA
LinearRecurrence[{1, 1}, {14, 9}, 80]
PROG
(Magma) I:=[14, 9]; [n le 2 select I[n] else Self(n-1)+ Self(n-2): n in [1..40]]; \\ Vincenzo Librandi, Feb 18 2012
(PARI) Vec((14 - 5*x)/(1 - x - x^2) + O(x^30)) \\ Andrew Howroyd, Aug 28 2018
CROSSREFS
Sequence in context: A010237 A035418 A070602 * A266014 A086050 A128486
KEYWORD
nonn,easy
AUTHOR
STATUS
approved

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Last modified July 13 14:24 EDT 2024. Contains 374284 sequences. (Running on oeis4.)