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0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0, 1, 8, 3
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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COMMENTS
| a(n)=A070474(n) [Proof: n^5-n^3 =0 (mod 12) is shown explicitly for n=0 to 11, then the induction n->n+12 for the 5th order polynomial followed by binomial expansion of (n+12)^k concludes that the zero (mod 12) is periodically extended to the other integers.] [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 23 2009]
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MATHEMATICA
| Table[Mod[n^5, 12], {n, 0, 200}] (* From Vladimir Joseph Stephan Orlovsky, Apr 23 2011 *)
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PROG
| (Sage) [power_mod(n, 7, 12) for n in xrange(0, 100)] [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 28 2009]
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CROSSREFS
| Cf. A008960, A070474.
Sequence in context: A021849 A201754 A070474 * A091895 A111436 A014549
Adjacent sequences: A070594 A070595 A070596 * A070598 A070599 A070600
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KEYWORD
| nonn
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com), May 13 2002
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