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A070472 a(n) = n^3 mod 7. 3
0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1, 6, 1, 6, 6, 0, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,4
COMMENTS
Periodic with period 7.
LINKS
FORMULA
a(n) = a(n-7).
G.f.: x*(1 + x + 6*x^2 + x^3 + 6*x^4 + 6*x^5)/(1-x^7). - Vincenzo Librandi, Mar 27 2016
MATHEMATICA
PowerMod[Range[0, 120], 3, 7] (* or *) LinearRecurrence[{0, 0, 0, 0, 0, 0, 1}, {0, 1, 1, 6, 1, 6, 6}, 120] (* or *) PadRight[{}, 120, {0, 1, 1, 6, 1, 6, 6}] (* Harvey P. Dale, Nov 29 2013 *)
PROG
(Sage) [power_mod(n, 3, 7 ) for n in range(0, 101)] # Zerinvary Lajos, Oct 29 2009
(Magma) [Modexp(n, 3, 7 ): n in [0..100]]; // Vincenzo Librandi, Mar 27 2016
(PARI) a(n)=n^3%7 \\ Charles R Greathouse IV, Apr 06 2016
CROSSREFS
Sequence in context: A070514 A169886 A292862 * A320394 A151784 A093563
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved

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Last modified March 28 20:05 EDT 2024. Contains 371254 sequences. (Running on oeis4.)