cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A070405 a(n) = 7^n mod 13.

This page as a plain text file.
%I A070405 #37 Dec 27 2023 08:37:26
%S A070405 1,7,10,5,9,11,12,6,3,8,4,2,1,7,10,5,9,11,12,6,3,8,4,2,1,7,10,5,9,11,
%T A070405 12,6,3,8,4,2,1,7,10,5,9,11,12,6,3,8,4,2,1,7,10,5,9,11,12,6,3,8,4,2,1,
%U A070405 7,10,5,9,11,12,6,3,8,4,2,1,7,10,5,9,11,12,6,3,8,4,2,1,7,10,5,9,11,12
%N A070405 a(n) = 7^n mod 13.
%H A070405 G. C. Greubel, <a href="/A070405/b070405.txt">Table of n, a(n) for n = 0..1000</a>
%H A070405 <a href="/index/Rec#order_07">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,-1,1).
%F A070405 From _R. J. Mathar_, Apr 20 2010: (Start)
%F A070405 a(n) = a(n-1) - a(n-6) + a(n-7).
%F A070405 G.f.: ( -1-6*x-3*x^2+5*x^3-4*x^4-2*x^5-2*x^6 ) / ( (x-1)*(x^2+1)*(x^4-x^2+1) ). (End)
%F A070405 a(n) = a(n-12). - _G. C. Greubel_, Mar 20 2016
%t A070405 PowerMod[7,Range[0,90],13] (* or *) LinearRecurrence[{1,0,0,0,0,-1,1},{1,7,10,5,9,11,12},100] (* _Harvey P. Dale_, May 20 2014 *)
%o A070405 (Sage) [power_mod(7,n,13) for n in range(0,91)] # _Zerinvary Lajos_, Nov 03 2009
%o A070405 (PARI) a(n) = lift(Mod(7, 13)^n); \\ _Altug Alkan_, Mar 20 2016
%o A070405 (Magma) [Modexp(7, n, 13): n in [0..100]]; // _Bruno Berselli_, Mar 22 2016
%K A070405 nonn,easy
%O A070405 0,2
%A A070405 _N. J. A. Sloane_, May 12 2002