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A070407 a(n) = 7^n mod 17. 2
1, 7, 15, 3, 4, 11, 9, 12, 16, 10, 2, 14, 13, 6, 8, 5, 1, 7, 15, 3, 4, 11, 9, 12, 16, 10, 2, 14, 13, 6, 8, 5, 1, 7, 15, 3, 4, 11, 9, 12, 16, 10, 2, 14, 13, 6, 8, 5, 1, 7, 15, 3, 4, 11, 9, 12, 16, 10, 2, 14, 13, 6, 8, 5, 1, 7, 15, 3, 4, 11, 9, 12, 16, 10, 2, 14, 13, 6, 8, 5, 1, 7, 15, 3, 4, 11 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

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

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

FORMULA

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

a(n) = a(n-1) - a(n-8) + a(n-9).

G.f.: ( -1-6*x-8*x^2+12*x^3-x^4-7*x^5+2*x^6-3*x^7-5*x^8 ) / ( (x-1)*(1+x^8) ). (End)

a(n) = a(n-16). - G. C. Greubel, Mar 20 2016

MATHEMATICA

PowerMod[7, Range[0, 100], 17]  (* Harvey P. Dale, Mar 20 2011 *)

PROG

(Sage) [power_mod(7, n, 17) for n in xrange(0, 86)] # Zerinvary Lajos, Nov 27 2009

(PARI) a(n) = lift(Mod(7, 17)^n); \\ Altug Alkan, Mar 20 2016

(MAGMA) [Modexp(7, n, 17): n in [0..100]]; // Bruno Berselli, Mar 22 2016

CROSSREFS

Sequence in context: A061522 A213151 A225763 * A069841 A289940 A290065

Adjacent sequences:  A070404 A070405 A070406 * A070408 A070409 A070410

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified November 19 16:10 EST 2017. Contains 294936 sequences.