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A022372 Fibonacci sequence beginning 2, 20. 1
2, 20, 22, 42, 64, 106, 170, 276, 446, 722, 1168, 1890, 3058, 4948, 8006, 12954, 20960, 33914, 54874, 88788, 143662, 232450, 376112, 608562, 984674, 1593236, 2577910, 4171146, 6749056, 10920202 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,1

LINKS

G. C. Greubel, 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.: (2+18*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = 2*(Fibonacci(n+2) + 8*Fibonacci(n)). - G. C. Greubel, Aug 27 2017

a(n) = 2*A022100(n). - Alois P. Heinz, Aug 27 2017

MATHEMATICA

a={}; b=2; c=20; AppendTo[a, b]; AppendTo[a, c]; Do[b=b+c; AppendTo[a, b]; c=b+c; AppendTo[a, c], {n, 4!}]; a (* Vladimir Joseph Stephan Orlovsky, Sep 18 2008 *)

Table[2*(Fibonacci[n + 2] + 8*Fibonacci[n]), {n, 0, 50}] (* or *) LinearRecurrence[{1, 1}, {2, 20}, 50] (* G. C. Greubel, Aug 27 2017 *)

PROG

(PARI) for(n=0, 50, print1(2*(fibonacci(n+2) + 8*fibonacci(n)), ", ")) \\ G. C. Greubel, Aug 27 2017

CROSSREFS

Cf. A022100.

Sequence in context: A111193 A136906 A260570 * A112405 A136885 A136909

Adjacent sequences:  A022369 A022370 A022371 * A022373 A022374 A022375

KEYWORD

nonn

AUTHOR

N. J. A. Sloane

STATUS

approved

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Last modified October 23 01:24 EDT 2017. Contains 293783 sequences.