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A070412 a(n) = 7^n mod 27. 1
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 (list; graph; refs; listen; history; text; internal format)
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

a(n) = (1/36)*{25*(n mod 9)+61*[(n+1) mod 9]-11*[(n+2) mod 9]+25*[(n+3) mod 9]+61*[(n+4) mod 9]-11*[(n+5) mod 9]+25*[(n+6) mod 9]-47*[(n+7) mod 9]-11*[(n+8) mod 9]}, with n>=0. - Paolo P. Lava, Apr 16 2010

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 xrange(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 A041090

Adjacent sequences:  A070409 A070410 A070411 * A070413 A070414 A070415

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified June 25 06:13 EDT 2017. Contains 288709 sequences.