A022384 Fibonacci sequence beginning 4, 18.

4, 18, 22, 40, 62, 102, 164, 266, 430, 696, 1126, 1822, 2948, 4770, 7718, 12488, 20206, 32694, 52900, 85594, 138494, 224088, 362582, 586670, 949252, 1535922, 2485174, 4021096, 6506270, 10527366, 17033636, 27561002, 44594638, 72155640, 116750278, 188905918, 305656196

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.: (4+14*x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(0)=4, a(1)=18, a(n) = a(n-1) + a(n-2). - Harvey P. Dale, Sep 04 2011

a(n) = 4*Fibonacci(n+2) + 10*Fibonacci(n) = 4*Fibonacci(n+2) + 18*Fibonacci(n). - G. C. Greubel, Mar 02 2018

Mathematica

LinearRecurrence[{1, 1}, {4, 18}, 40] (* or *) CoefficientList[ Series[ -((2 (7x+2))/(x^2+x-1)), {x, 0, 40}], x](* Harvey P. Dale, Sep 04 2011 *)
Table[4*Fibonacci[n+2] + 10*Fibonacci[n], {n, 0, 50}] (* G. C. Greubel, Mar 02 2018 *)

Prog

(PARI) for(n=0, 50, print1(4*fibonacci(n+2) + 10*fibonacci(n), ", ")) \\ G. C. Greubel, Mar 02 2018
(Magma) [4*Fibonacci(n+2) + 10*Fibonacci(n): n in [0..50]]; // G. C. Greubel, Mar 02 2018

Crossrefs

Sequence in context: A103061 A230605 A201880 * A093022 A255409 A363052

Adjacent sequences: A022381 A022382 A022383 * A022385 A022386 A022387

Keyword

nonn

Author

N. J. A. Sloane

Extensions

Terms a(30) onward added by G. C. Greubel, Mar 02 2018

Status

approved