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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

Table of n, a(n) for n=0..100.

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

FORMULA

a(n) = a(n-7).

a(n) = 1/7*{7*(n mod 7)+[(n+1) mod 7]-4*[(n+2) mod 7]+6*[(n+3) mod 7]-4*[(n+4) mod 7]+[(n+5) mod 7]} with n>=0. - Paolo P. Lava, Nov 27 2006

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 xrange(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 * A151784 A093563 A081775

Adjacent sequences:  A070469 A070470 A070471 * A070473 A070474 A070475

KEYWORD

nonn,easy

AUTHOR

N. J. A. Sloane, May 12 2002

STATUS

approved

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Last modified February 20 02:07 EST 2018. Contains 299357 sequences. (Running on oeis4.)