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Search: id:A070431
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| 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4, 1, 0, 1, 4, 3, 4
(list; graph; listen)
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OFFSET
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0,3
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COMMENT
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a(m*n)=a(m)*a(n) mod 6; a(3*n+k)=a(3*n-k) for k<=3*n; a(n+6)=a(n). [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 24 2009]
Equivalently n^6 mod 6. [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 06 2009]
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FORMULA
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G.f.: -x*(1+4*x+3*x^2+4*x^3+x^4)/((x-1)*(1+x)*(1+x+x^2)*(x^2-x+1)). [From R. J. Mathar (mathar(AT)strw.leidenuniv.nl), Jul 23 2009]
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PROGRAM
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(Other) sage: [power_mod(n, 2, 6)for n in xrange(0, 101)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Oct 30 2009]
(Other) sage: [power_mod(n, 6, 6)for n in xrange(0, 101)] # [From Zerinvary Lajos (zerinvarylajos(AT)yahoo.com), Nov 06 2009]
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CROSSREFS
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A008959, A070435, A070438, A070442, A070452, A159852, A000290. [From Reinhard Zumkeller (reinhard.zumkeller(AT)gmail.com), Apr 24 2009]
Sequence in context: A007568 A091884 A048156 this_sequence A070511 A066340 A143505
Adjacent sequences: A070428 A070429 A070430 this_sequence A070432 A070433 A070434
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KEYWORD
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nonn,new
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AUTHOR
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N. J. A. Sloane (njas(AT)research.att.com), May 12 2002
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