A070392 a(n) = 6^n mod 11.

1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7, 9, 10, 5, 8, 4, 2, 1, 6, 3, 7

Offset: 0

Author

N. J. A. Sloane, May 12 2002

Keywords

• nonn
• easy

Comments

Period 10 (Repeat): [1, 6, 3, 7, 9, 10, 5, 8, 4, 2, ...]. The sequence contains every number from 1 to 10 and only those numbers. - Wesley Ivan Hurt, May 19 2014

Links

• G. C. Greubel, Table of n, a(n) for n = 0..1000
• Index entries for linear recurrences with constant coefficients, signature (1,0,0,0,-1,1). - _R. J. Mathar_, Apr 20 2010

Programs

Maple

A070392:=n->(6^n mod 11); seq(A070392(n), n=0..100); # Wesley Ivan Hurt, May 19 2014

Mathematica

Table[Mod[6^n, 11], {n, 0, 100}] (* Wesley Ivan Hurt, May 19 2014 *)
PowerMod[6, Range[0, 50], 11] (* G. C. Greubel, Mar 18 2016 *)

PARI

a(n)=6^n%11 \\ Charles R Greathouse IV, Oct 07 2015

PARI

a(n) = lift(Mod(6, 11)^n); \\ Altug Alkan, Mar 18 2016

Sage

[power_mod(6,n,11)for n in range(0,99)] # Zerinvary Lajos, Nov 26 2009

Formula

From R. J. Mathar, Apr 20 2010: (Start)

a(n) = a(n-1) - a(n-5) + a(n-6).

G.f.: ( -1-5*x+3*x^2-4*x^3-2*x^4-2*x^5 )/((x-1)*(1+x)(x^4-x^3+x^2-x+1) ). (End)

a(n) = a(n-10). - G. C. Greubel, Mar 18 2016