A022370 - OEIS

%I #20 Aug 27 2017 18:29:33

%S 2,16,18,34,52,86,138,224,362,586,948,1534,2482,4016,6498,10514,17012,

%T 27526,44538,72064,116602,188666,305268,493934,799202,1293136,2092338,

%U 3385474,5477812,8863286,14341098

%N Fibonacci sequence beginning 2, 16.

%H G. C. Greubel, <a href="/A022370/b022370.txt">Table of n, a(n) for n = 0..1000</a>

%H Tanya Khovanova, <a href="http://www.tanyakhovanova.com/RecursiveSequences/RecursiveSequences.html">Recursive Sequences</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (1, 1).

%F G.f.: (2+14*x)/(1-x-x^2). - _Philippe Deléham_, Nov 19 2008

%F a(n) = 2*(Fibonacci(n+2) + 6*Fibonacci(n)). - _G. C. Greubel_, Aug 27 2017

%F a(n) = 2 * A022098(n). - _Alois P. Heinz_, Aug 27 2017

%t a={};b=2;c=16;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 *)

%t LinearRecurrence[{1,1},{2,16},40] (* _Harvey P. Dale_, Aug 11 2011 *)

%o (PARI) for(n=0,50, print1(2*(fibonacci(n+2) + 6*fibonacci(n)), ", ")) \\ _G. C. Greubel_, Aug 27 2017

%Y Cf. A022098.

%K nonn

%O 0,1

%A _N. J. A. Sloane_