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A190995 Fibonacci sequence beginning 9, 7. 2
9, 7, 16, 23, 39, 62, 101, 163, 264, 427, 691, 1118, 1809, 2927, 4736, 7663, 12399, 20062, 32461, 52523, 84984, 137507, 222491, 359998, 582489, 942487, 1524976, 2467463, 3992439, 6459902, 10452341, 16912243, 27364584, 44276827, 71641411, 115918238, 187559649 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

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

FORMULA

a(n) = (9/2+5*sqrt(5)/10)*(1/2+sqrt(5)/2)^n+(9/2-5*sqrt(5)/10)*(1/2-sqrt(5)/2)^n. - Antonio Alberto Olivares

G.f.: (9-2*x)/(1-x-x^2). - Colin Barker, Jan 11 2012

MATHEMATICA

LinearRecurrence[{1, 1}, {9, 7}, 100]

PROG

(PARI) a(n)=7*fibonacci(n)+9*fibonacci(n-1) \\ Charles R Greathouse IV, Jun 08 2011

(MAGMA) I:=[9, 7]; [n le 2 select I[n] else Self(n-1)+Self(n-2): n in [1..50]]; \\ Vincenzo Librandi, Feb 15 2012

CROSSREFS

Sequence in context: A011405 A268228 A131724 * A186830 A124050 A107663

Adjacent sequences:  A190992 A190993 A190994 * A190996 A190997 A190998

KEYWORD

nonn,easy

AUTHOR

Vladimir Joseph Stephan Orlovsky, Jun 07 2011

STATUS

approved

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Last modified May 25 19:25 EDT 2019. Contains 323576 sequences. (Running on oeis4.)