A022385 Fibonacci sequence beginning 4, 22.

4, 22, 26, 48, 74, 122, 196, 318, 514, 832, 1346, 2178, 3524, 5702, 9226, 14928, 24154, 39082, 63236, 102318, 165554, 267872, 433426, 701298, 1134724, 1836022, 2970746, 4806768, 7777514, 12584282, 20361796, 32946078, 53307874, 86253952, 139561826, 225815778, 365377604, 591193382

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+18x)/(1-x-x^2). - Philippe Deléham, Nov 19 2008

a(n) = 4*Fibonacci(n+2) + 14*Fibonacci(n) = 4*Fibonacci(n-1) + 22*Fibonacci(n). - G. C. Greubel, Mar 02 2018

Mathematica

Table[4*Fibonacci[n+2] + 14*Fibonacci[n], {n, 0, 50}] (* or *) LinearRecurrence[{1, 1}, {4, 22}, 50] (* G. C. Greubel, Mar 02 2018 *)

Prog

(PARI) for(n=0, 50, print1(4*fibonacci(n+2) + 14*fibonacci(n), ", ")) \\ G. C. Greubel, Mar 02 2018
(Magma) [4*Fibonacci(n+2) + 14*Fibonacci(n): n in [0..50]]; // G. C. Greubel, Mar 02 2018

Crossrefs

Sequence in context: A043061 A009925 A059653 * A244411 A213240 A279314

Adjacent sequences: A022382 A022383 A022384 * A022386 A022387 A022388

Keyword

nonn

Author

N. J. A. Sloane

Extensions

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

Status

approved