A070480 a(n) = n^3 mod 18.

0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17, 0, 1, 8, 9, 10, 17

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, 1).

Formula

From G. C. Greubel, Mar 28 2016: (Start)

a(n) = a(n-6).

G.f.: (-x -8*x^2 -9*x^3 -10*x^4 -17*x^5)/(-1 + x^6). (End)

Mathematica

Table[Mod[n^3, 18], {n, 0, 100}] (* G. C. Greubel, Mar 28 2016 *)

Prog

(Sage) [power_mod(n, 3, 18 )for n in range(0, 90)] # Zerinvary Lajos, Oct 29 2009
(Magma) [Modexp(n, 3, 18): n in [0..100]]; // Vincenzo Librandi, Mar 28 2016
(PARI) x='x+O('x^99); concat(0, Vec((-x-8*x^2-9*x^3-10*x^4-17*x^5) / (-1+x^6))) \\ Altug Alkan, Mar 28 2016

Crossrefs

Sequence in context: A091417 A069237 A334728 * A135043 A054966 A130881

Adjacent sequences: A070477 A070478 A070479 * A070481 A070482 A070483

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved