A070516 Duplicate of A070435.

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

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: A321219 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