A070362 - OEIS

%I #34 Dec 25 2023 16:49:46

%S 1,3,9,27,37,23,25,31,5,15,1,3,9,27,37,23,25,31,5,15,1,3,9,27,37,23,

%T 25,31,5,15,1,3,9,27,37,23,25,31,5,15,1,3,9,27,37,23,25,31,5,15,1,3,9,

%U 27,37,23,25,31,5,15,1,3,9,27,37,23,25,31,5,15,1,3,9,27,37,23,25,31,5,15

%N a(n) = 3^n mod 44.

%H G. C. Greubel, <a href="/A070362/b070362.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_10">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,1).

%F From _R. J. Mathar_, Apr 20 2010: (Start)

%F a(n) = a(n-10).

%F G.f.: ( -1-3*x-9*x^2-27*x^3-37*x^4-23*x^5-25*x^6-31*x^7-5*x^8-15*x^9 ) / ( (x-1)*(1+x)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1) ). (End)

%t PowerMod[3, Range[0,50], 44] (* or *) Table[Mod[3^n, 44], {n, 0, 100}] (* _G. C. Greubel_, Mar 09 2016 *)

%o (PARI) a(n)=lift(Mod(3,44)^n) \\ _Charles R Greathouse IV_, Mar 22 2016

%Y Cf. A000244.

%K nonn,easy

%O 0,2

%A _N. J. A. Sloane_, May 12 2002