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A185057
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a(n) = n^n! (mod 5).
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0
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0, 1, 4, 4, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1
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OFFSET
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0,3
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COMMENTS
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For n > 3, periodic with period 5: repeat [1, 0, 1, 1, 1].
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LINKS
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FORMULA
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a(n) = (2/5)*(2 - cos(2*n*Pi/5) - cos(4*n*Pi/5)) for n > 3. - Wesley Ivan Hurt, Sep 27 2018
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MATHEMATICA
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Table[PowerMod[n, n!, 5], {n, 0, 84}]
Join[{0, 1, 4, 4}, LinearRecurrence[{0, 0, 0, 0, 1}, {1, 0, 1, 1, 1}, 81]] (* Ray Chandler, Aug 25 2015 *)
PadRight[{0, 1, 4, 4}, 120, {0, 1, 1, 1, 1}] (* Harvey P. Dale, Dec 22 2022 *)
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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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