A070412 a(n) = 7^n mod 27.

1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13, 10, 16, 4, 1, 7, 22, 19, 25, 13

Offset

0,2

Comments

Period 9: repeat [1, 7, 22, 19, 25, 13, 10, 16, 4]. - Wesley Ivan Hurt, Feb 28 2014

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,1).

Formula

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

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

G.f.: ( -1-7*x- 22*x^2-19*x^3-25*x^4-13*x^5-10*x^6-16*x^7-4*x^8 ) / ( (x-1)*(1+x+x^2)*(x^6+x^3+1) ). (End)

Prog

(Sage) [power_mod(7, n, 27) for n in range(0, 78)] # Zerinvary Lajos, Nov 27 2009
(PARI) a(n) = lift(Mod(7, 27)^n); \\ Altug Alkan, Mar 20 2016
(Magma) [Modexp(7, n, 27): n in [0..100]]; // Bruno Berselli, Mar 22 2016

Crossrefs

Sequence in context: A101119 A217014 A200886 * A286572 A055575 A297712

Adjacent sequences: A070409 A070410 A070411 * A070413 A070414 A070415

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved