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A070381
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a(n) = 5^n mod 33.
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1
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1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16
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OFFSET
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0,2
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1). [R. J. Mathar, Apr 20 2010]
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FORMULA
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a(n) = a(n-10).
G.f.: ( -1-5*x-25*x^2-26*x^3-31*x^4-23*x^5-16*x^6-14*x^7-4*x^8-20*x^9 ) / ( (x-1)*(1+x)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1) ). (End)
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MATHEMATICA
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PowerMod[5, Range[0, 80], 33] (* or *) PadRight[{}, 80, {1, 5, 25, 26, 31, 23, 16, 14, 4, 20}] (* Harvey P. Dale, Jan 21 2014 *)
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PROG
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(Sage) [power_mod(5, n, 33) for n in range(0, 77)] # Zerinvary Lajos, Nov 26 2009
(PARI) a(n) = lift(Mod(5, 33)^n); \\ Altug Alkan, Mar 16 2016
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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