A167176 a(n) = n^3 mod 9.

0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8, 0, 1, 8

Offset

0,3

Comments

Essentially a duplicate of A021559. - N. J. A. Sloane, Oct 30 2009

Equivalently: n^(6*m + 3) mod 9. - G. C. Greubel, Jun 04 2016

Decimal expansion of 2/111. - Elmo R. Oliveira, Feb 19 2024

Links

Table of n, a(n) for n=0..104.

Index entries for linear recurrences with constant coefficients, signature (0,0,1).

Formula

G.f.: -x*(1+8*x) / ( (x-1)*(1+x+x^2) ). - R. J. Mathar, Aug 24 2016

Mathematica

Table[Mod[n^3, 9], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 23 2011 *)

Prog

(Sage) [power_mod(n, 3, 9 ) for n in range(0, 105)]
(PARI) a(n)=n^3%9 \\ Charles R Greathouse IV, Apr 06 2016
(PARI) a(n)=[0, 1, 8][n%3+1]; \\ Joerg Arndt, Feb 20 2024

Crossrefs

Sequence in context: A272343 A011314 A021559 * A354631 A195447 A160389

Adjacent sequences: A167173 A167174 A167175 * A167177 A167178 A167179

Keyword

nonn,easy

Author

Zerinvary Lajos, Oct 29 2009

Status

approved