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A070417 a(n) = 7^n mod 33. 1
1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4, 28, 31, 19, 1, 7, 16, 13, 25, 10, 4 (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,-1,1,-1,1,-1,1,-1,1).

FORMULA

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

a(n) = a(n-1) - a(n-2) + a(n-3) - a(n-4) + a(n-5) - a(n-6) + a(n-7) - a(n-8) + a(n-9).

G.f.: ( -1-6*x-10*x^2-3*x^3-22*x^4+12*x^5-16*x^6-12*x^7-19*x^8 ) / ( (x-1)*(1-x+x^2-x^3+x^4)*(1+x+x^2+x^3+x^4) ). (End)

a(n) = a(n-10). - G. C. Greubel, Mar 20 2016

MATHEMATICA

PowerMod[7, Range[0, 80], 33] (* Harvey P. Dale, Mar 04 2015 *)

PROG

(Sage) [power_mod(7, n, 33) for n in xrange(0, 77)] # Zerinvary Lajos, Nov 27 2009

(PARI) a(n)=lift(Mod(7, 33)^n) \\ Charles R Greathouse IV, Mar 22 2016

(MAGMA) [Modexp(7, n, 33): n in [0..100]]; // Bruno Berselli, Mar 22 2016

CROSSREFS

Sequence in context: A061039 A258771 A063593 * A101681 A067776 A193688

Adjacent sequences:  A070414 A070415 A070416 * A070418 A070419 A070420

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.