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Search: id:A070597
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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; listen)
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OFFSET
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0,3
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COMMENT
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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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EXAMPLE
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Copy sequence SAGE: [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] equal: A070474 [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 28 2009]
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PROGRAM
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(Other) 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
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Sequence in context: A145594 A021849 A070474 this_sequence A091895 A111436 A014549
Adjacent sequences: A070594 A070595 A070596 this_sequence A070598 A070599 A070600
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 13 2002
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