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A070517
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a(n) = n^4 mod 13.
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0
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0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9, 3, 3, 1, 0, 1, 3, 3, 9, 1, 9, 9, 1, 9
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OFFSET
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0,3
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COMMENTS
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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, 0, 0, 0, 1).
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FORMULA
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a(n+13) = a(n).
a(13*m) = 0.
G.f.: (x +3*x^2 +3*x^3 +9*x^4 +x^5 +9*x^6 +9*x^7 +x^8 +9*x^9 +3*x^10 +3*x^11 +x^12)/(1 - x^13). (End)
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MATHEMATICA
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PROG
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(Sage) [power_mod(n, 4, 13)for n in range(0, 101)] # Zerinvary Lajos, Oct 31 2009
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CROSSREFS
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KEYWORD
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nonn,easy
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AUTHOR
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STATUS
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approved
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