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A070516 Duplicate of A070435. 0
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, 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, 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 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

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

LINKS

Table of n, a(n) for n=0..100.

MATHEMATICA

Table[Mod[n^4, 12], {n, 0, 200}] (* Vladimir Joseph Stephan Orlovsky, Apr 21 2011 *)

CROSSREFS

Cf. A070435, A070474, A070597.

Sequence in context: A285323 A178143 A070435 * A143298 A177839 A013669

Adjacent sequences:  A070513 A070514 A070515 * A070517 A070518 A070519

KEYWORD

dead

AUTHOR

N. J. A. Sloane, May 13 2002

STATUS

approved

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Last modified July 26 02:08 EDT 2017. Contains 289798 sequences.