A022372 Fibonacci sequence beginning 2, 20.

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

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 * A322964 A112405 A136885

Adjacent sequences: A022369 A022370 A022371 * A022373 A022374 A022375

Keyword

nonn

Author

N. J. A. Sloane

Status

approved