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A022383 Fibonacci sequence beginning 4, 14. 3
4, 14, 18, 32, 50, 82, 132, 214, 346, 560, 906, 1466, 2372, 3838, 6210, 10048, 16258, 26306, 42564, 68870, 111434, 180304, 291738, 472042, 763780, 1235822, 1999602, 3235424, 5235026, 8470450, 13705476, 22175926, 35881402, 58057328, 93938730 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Tanya Khovanova, Recursive Sequences

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

FORMULA

G.f.: (4+10x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

MAPLE

!

MATHEMATICA

a[1] := 4; a[2] := 14; a[n_] := a[n - 1] + a[n - 2]; Table[a[n], {n, 1, 30}] (* Stefan Steinerberger, Apr 08 2006 *)

a={}; b=4; c=14; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 1, 12, 1}]; a (* Vladimir Joseph Stephan Orlovsky, Jul 23 2008 *)

LinearRecurrence[{1, 1}, {4, 14}, 40] (* Harvey P. Dale, Feb 15 2015 *)

PROG

(PARI) Vec((4+10*x)/(1-x-x^2)+O(x^99)) \\ Charles R Greathouse IV, May 15 2013

CROSSREFS

Sequence in context: A011859 A032825 A251966 * A045248 A271375 A070902

Adjacent sequences:  A022380 A022381 A022382 * A022384 A022385 A022386

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane

EXTENSIONS

More terms from Stefan Steinerberger, Apr 08 2006

STATUS

approved

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Last modified August 23 03:42 EDT 2017. Contains 290958 sequences.