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A070516 Duplicate of A070435. 0

%I #11 Nov 21 2013 13:07:13

%S 0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,

%T 4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,

%U 4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4,1,0,1,4,9,4

%N Duplicate of A070435.

%C n^4 mod 12 == A070435 n^2 mod 12 and both have the nice symmetrical cycle {0, 1, 4, 9, 4, 1, 0}. Also, A070597 n^5 mod 12 == A070474 n^3 mod 12 and both have the nice anti-symmetrical cycle {0, 1, 8, 3, 4, 5, 0, 7, 8, 9, 4, 11, 0}: a(i) + a(14-i) = 0 mod 12. - _Zak Seidov_, Feb 18 2006

%t Table[Mod[n^4,12],{n,0,200}] (* _Vladimir Joseph Stephan Orlovsky_, Apr 21 2011 *)

%Y Cf. A070435, A070474, A070597.

%K dead

%O 0,3

%A _N. J. A. Sloane_, May 13 2002

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