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A070541
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a(n) = n^4 mod 22.
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1
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0, 1, 16, 15, 14, 9, 20, 3, 4, 5, 12, 11, 12, 5, 4, 3, 20, 9, 14, 15, 16, 1, 0, 1, 16, 15, 14, 9, 20, 3, 4, 5, 12, 11, 12, 5, 4, 3, 20, 9, 14, 15, 16, 1, 0, 1, 16, 15, 14, 9, 20, 3, 4, 5, 12, 11, 12, 5, 4, 3, 20, 9, 14, 15, 16, 1, 0, 1, 16, 15, 14, 9, 20, 3, 4, 5, 12, 11, 12, 5, 4, 3, 20, 9
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OFFSET
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0,3
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COMMENTS
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Equivalently: n^(10*m + 4) mod 22. - G. C. Greubel, Apr 05 2016
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..1000
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FORMULA
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From G. C. Greubel, Apr 05 2016: (Start)
a(21*n) = 0.
a(n+21) = a(n). (End)
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MATHEMATICA
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PowerMod[Range[0, 100], 4, 22] (* G. C. Greubel, Apr 05 2016 *)
PadRight[{}, 120, {0, 1, 16, 15, 14, 9, 20, 3, 4, 5, 12, 11, 12, 5, 4, 3, 20, 9, 14, 15, 16, 1}] (* Harvey P. Dale, Feb 25 2017 *)
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PROG
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(Sage) [power_mod(n, 4, 22)for n in range(0, 84)] # Zerinvary Lajos, Oct 31 2009
(MAGMA) [Modexp(n, 4, 22): n in [0..100]]; // Vincenzo Librandi, Apr 06 2016
(PARI) a(n)=n^4%22 \\ Charles R Greathouse IV, Apr 06 2016
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CROSSREFS
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Sequence in context: A159454 A334350 A306305 * A022972 A023458 A284498
Adjacent sequences: A070538 A070539 A070540 * A070542 A070543 A070544
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KEYWORD
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nonn,easy
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AUTHOR
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N. J. A. Sloane, May 13 2002
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STATUS
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approved
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