A070697 - OEIS

A070697

Duplicate of A070477.

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

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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

Table of n, a(n) for n=0..89.

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

Adjacent sequences: A070694 A070695 A070696 * A070698 A070699 A070700

KEYWORD

dead

AUTHOR

N. J. A. Sloane, May 13 2002

STATUS

approved