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A070480
a(n) = n^3 mod 18.
1
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
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
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved