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A070367 a(n) = 5^n mod 11. 5
1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1, 5, 3, 4, 9, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

Period 5: repeat [1, 5, 3, 4, 9].

LINKS

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

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

FORMULA

a(n) = (1/25)*{51*(n mod 5)-14*[(n+1) mod 5]+6*[(n+2) mod 5]+21*[(n+3) mod 5]-9*[(n+4) mod 5]}, with n>=0. - Paolo P. Lava, Feb 24 2010

From R. J. Mathar, Apr 20 2010

a(n) = a(n-5).

G.f.: ( -1-5*x-3*x^2-4*x^3-9*x^4 ) / ( (x-1)*(1+x+x^2+x^3+x^4) ). (End)

MATHEMATICA

Table[Mod[5^n, 11], {n, 0, 100}] (* G. C. Greubel, Mar 05 2016 *)

PROG

(Sage) [power_mod(5, n, 11)for n in xrange(0, 101)] # Zerinvary Lajos, Nov 25 2009

(MAGMA) &cat[[1, 5, 3, 4, 9]^^20]; // Vincenzo Librandi, Mar 06 2016

(PARI) a(n)=lift(Mod(5, 11)^n) \\ Charles R Greathouse IV, Mar 22 2016

CROSSREFS

Cf. A000351.

Sequence in context: A004162 A109681 A196406 * A086308 A229943 A198132

Adjacent sequences:  A070364 A070365 A070366 * A070368 A070369 A070370

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified March 25 01:30 EDT 2017. Contains 284036 sequences.