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A070385 a(n) = 5^n mod 38. 1

%I #29 Dec 26 2023 06:37:40

%S 1,5,25,11,17,9,7,35,23,1,5,25,11,17,9,7,35,23,1,5,25,11,17,9,7,35,23,

%T 1,5,25,11,17,9,7,35,23,1,5,25,11,17,9,7,35,23,1,5,25,11,17,9,7,35,23,

%U 1,5,25,11,17,9,7,35,23,1,5,25,11,17,9,7,35,23,1,5,25,11,17,9,7,35,23

%N a(n) = 5^n mod 38.

%H G. C. Greubel, <a href="/A070385/b070385.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,1). [_R. J. Mathar_, Apr 20 2010]

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

%F a(n) = a(n-9).

%F G.f.: ( -1-5*x-25*x^2-11*x^3-17*x^4-9*x^5-7*x^6-35*x^7-23*x^8 ) / ( (x-1)*(1+x+x^2)*(x^6+x^3+1) ). (End)

%t PowerMod[5, Range[0, 50], 38] (* _G. C. Greubel_, Mar 16 2016 *)

%o (Sage) [power_mod(5,n,38) for n in range(0,81)] # _Zerinvary Lajos_, Nov 26 2009

%o (PARI) a(n) = lift(Mod(5, 38)^n); \\ _Altug Alkan_, Mar 16 2016

%K nonn

%O 0,2

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

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Last modified May 2 23:14 EDT 2024. Contains 372203 sequences. (Running on oeis4.)