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A070408
a(n) = 7^n mod 22.
1
1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13
OFFSET
0,2
FORMULA
From R. J. Mathar, Apr 20 2010: (Start)
a(n) = a(n-1) - a(n-5) + a(n-6).
G.f.: ( -1-6*x+2*x^2-8*x^3+10*x^4-19*x^5 ) / ( (x-1)*(1+x)*(x^4-x^3+x^2-x+1) ). (End)
a(n) = a(n-10). - G. C. Greubel, Mar 20 2016
MATHEMATICA
PowerMod[7, Range[0, 50], 22] (* G. C. Greubel, Mar 20 2016 *)
PROG
(Sage) [power_mod(7, n, 22) for n in range(0, 84)] # Zerinvary Lajos, Nov 27 2009
(PARI) a(n) = lift(Mod(7, 22)^n); \\ Altug Alkan, Mar 20 2016
(Magma) [Modexp(7, n, 22): n in [0..100]]; // Bruno Berselli, Mar 22 2016
CROSSREFS
Sequence in context: A135766 A067745 A369797 * A176672 A107471 A332768
KEYWORD
nonn
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved