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A070697 Duplicate of A070477. 0
0, 1, 8, 12, 4, 5, 6, 13, 2, 9, 10, 11, 3, 7, 14, 0, 1, 8, 12, 4, 5, 6, 13, 2, 9, 10, 11, 3, 7, 14, 0, 1, 8, 12, 4, 5, 6, 13, 2, 9, 10, 11, 3, 7, 14, 0, 1, 8, 12, 4, 5, 6, 13, 2, 9, 10, 11, 3, 7, 14, 0, 1, 8, 12, 4, 5, 6, 13, 2, 9, 10, 11, 3, 7, 14, 0, 1, 8, 12, 4, 5, 6, 13, 2, 9, 10, 11, 3, 7, 14 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,3
COMMENTS
a(n)=A070477(n). [Proof: (n^7-n^3) == 0 (mod 15) is shown for n=0 to 14 explicitly. Then binomial expansion of (n+15)^7 and (n+15)^3 extend this by induction n->n+15 to all other indices.] - R. J. Mathar, Oct 30 2009
LINKS
MATHEMATICA
Table[Mod[n^3, 15], {n, 0, 100}] (* Vincenzo Librandi, Jun 19 2014 *)
PROG
(Magma) [n^3 mod 15: n in [0..80]]; // Vincenzo Librandi, Jun 19 2014
(PARI) a(n)=n^7%15 \\ Charles R Greathouse IV, Apr 06 2016
CROSSREFS
Cf. A008960.
Sequence in context: A227239 A037449 A070477 * A004473 A114404 A173457
KEYWORD
dead
AUTHOR
N. J. A. Sloane, May 13 2002
STATUS
approved

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Last modified March 28 14:38 EDT 2024. Contains 371254 sequences. (Running on oeis4.)