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A010698 Period 2: repeat (2,8). 6

%I

%S 2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,

%T 2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,2,8,

%U 2,8,2,8,2,8,2,8,2,8,2,8,2

%N Period 2: repeat (2,8).

%C This is the regular (simple) continued fraction for (2+sqrt(5))/2 = A176055. - Antonia Redondo Buitrago, Jul 30 2009

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (0,1).

%F a(n) = -3*(-1)^n+5 = 8*(n mod 2)+2*[(n+1) mod 2]. - _Paolo P. Lava_, Oct 20 2006

%F G.f.: 2(1+4x)/((1-x)(1+x)). a(n) = 2*A010685(n). - _R. J. Mathar_, Oct 20 2008

%F a(n) = (A010674(n)+1)*2. - _Martin Ettl_, Nov 09 2012

%p A010698:=n->5-3*(-1)^n; seq(A010698(n), n=0..100); # _Wesley Ivan Hurt_, Mar 26 2014

%t Table[5-3(-1)^n, {n, 0, 100}] (* _Wesley Ivan Hurt_, Mar 26 2014 *)

%t PadRight[{},120,{2,8}] (* _Harvey P. Dale_, Oct 31 2016 *)

%o (Maxima) A010698(n):=if evenp(n) then 2 else 8$

%o makelist(A010698(n),n,0,30); /* _Martin Ettl_, Nov 09 2012 */

%o (PARI) a(n)=n%2*6+2 \\ _Charles R Greathouse IV_, Jun 11 2015

%K nonn,easy

%O 0,1

%A _N. J. A. Sloane_

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Last modified August 26 03:38 EDT 2019. Contains 326324 sequences. (Running on oeis4.)