A070534 a(n) = n^4 mod 17.

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

G. C. Greubel, Table of n, a(n) for n = 0..1000

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

Adjacent sequences: A070531 A070532 A070533 * A070535 A070536 A070537

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved