A070479 a(n) = n^3 mod 17.

0, 1, 8, 10, 13, 6, 12, 3, 2, 15, 14, 5, 11, 4, 7, 9, 16, 0, 1, 8, 10, 13, 6, 12, 3, 2, 15, 14, 5, 11, 4, 7, 9, 16, 0, 1, 8, 10, 13, 6, 12, 3, 2, 15, 14, 5, 11, 4, 7, 9, 16, 0, 1, 8, 10, 13, 6, 12, 3, 2, 15, 14, 5, 11, 4, 7, 9, 16, 0, 1, 8, 10, 13, 6, 12, 3, 2, 15, 14, 5, 11, 4, 7, 9, 16, 0, 1

Offset

0,3

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, Mar 28 2016: (Start)

a(n) = a(n-17).

G.f.: (-x - 8x^2 - 10x^3 - 13x^4 - 6x^5 - 12x^6 - 3x^7 - 2x^8 - 15x^9 - 14x^10 - 5x^11 - 11x^12 - 4x^13 - 7x^14 - 9x^15 - 16x^16)/(-1 + x^17). (End)

Mathematica

Table[Mod[n^3, 17], {n, 0, 100}] (* Vincenzo Librandi, Jun 19 2014 *)

Prog

(Sage) [power_mod(n, 3, 17 )for n in range(0, 87)] # Zerinvary Lajos, Oct 29 2009
(Magma) [n^3 mod 17: n in [0..80]]; // Vincenzo Librandi, Jun 19 2014
(PARI) a(n)=n^3%17 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Cf. A008960.

Sequence in context: A303223 A112549 A112585 * A335172 A356522 A184116

Adjacent sequences: A070476 A070477 A070478 * A070480 A070481 A070482

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved