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Period 5: repeat [1, 9, -7, 3, 5].
2

%I #24 Sep 25 2024 23:12:57

%S 1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,

%T 9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,

%U -7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1,9,-7,3,5,1

%N Period 5: repeat [1, 9, -7, 3, 5].

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

%F a(n) == 9a(n-1) mod 11.

%F O.g.f.: -(1+9*x-7*x^2+3*x^3+5*x^4)/((x-1)*(1+x+x^2+x^3+x^4)). - _R. J. Mathar_, Jan 07 2008

%p A135449 := proc(n) op((n mod 5)+1,[1,9,-7,3,5]) ; end: seq(A135449(n),n=0..150) ; # _R. J. Mathar_, Feb 07 2009

%o (PARI) a(n)=[1,9,-7,3,5][n%5+1] \\ _Charles R Greathouse IV_, Jun 02 2011

%K sign,easy,less

%O 0,2

%A _Paul Curtz_, Dec 14 2007

%E More periods from _R. J. Mathar_, Feb 07 2009