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A070534
a(n) = n^4 mod 17.
1
0, 1, 16, 13, 1, 13, 4, 4, 16, 16, 4, 4, 13, 1, 13, 16, 1, 0, 1, 16, 13, 1, 13, 4, 4, 16, 16, 4, 4, 13, 1, 13, 16, 1, 0, 1, 16, 13, 1, 13, 4, 4, 16, 16, 4, 4, 13, 1, 13, 16, 1, 0, 1, 16, 13, 1, 13, 4, 4, 16, 16, 4, 4, 13, 1, 13, 16, 1, 0, 1, 16, 13, 1, 13, 4, 4, 16, 16, 4, 4, 13, 1, 13, 16
OFFSET
0,3
COMMENTS
Equivalently: n^(16*m+4) mod 17. - G. C. Greubel, Apr 05 2016
LINKS
Index entries for linear recurrences with constant coefficients, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
FORMULA
From G. C. Greubel, Apr 05 2016: (Start)
a(17*n) = 0.
a(n+17) = a(n). (End)
MATHEMATICA
PowerMod[Range[0, 100], 4, 17] (* G. C. Greubel, Apr 05 2016 *)
PadRight[{}, 120, {0, 1, 16, 13, 1, 13, 4, 4, 16, 16, 4, 4, 13, 1, 13, 16, 1}] (* Harvey P. Dale, May 19 2018 *)
PROG
(Sage) [power_mod(n, 4, 17)for n in range(0, 84)] # Zerinvary Lajos, Oct 31 2009
(PARI) a(n)=n^4%17 \\ Charles R Greathouse IV, Apr 05 2016
CROSSREFS
Sequence in context: A028493 A291426 A299524 * A269299 A070577 A184752
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 13 2002
STATUS
approved