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A070341
a(n) = 3^n mod 11: Repeat (1, 3, 9, 5, 4), period 5.
5
1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9, 5, 4, 1, 3, 9
OFFSET
0,2
COMMENTS
Simple continued fraction expansion of 13/24 + sqrt(8761)/120 = 1.3216684472... - R. J. Mathar, Mar 08 2012
FORMULA
From R. J. Mathar, Apr 13 2010: (Start)
a(n) = a(n-5).
G.f.: (1+3*x+9*x^2+5*x^3+4*x^4)/ ((1-x) * (1+x+x^2+x^3+x^4)). (End)
MATHEMATICA
PowerMod[3, Range[0, 100], 11] (* or *) PadRight[{}, 100, {1, 3, 9, 5, 4}] (* Harvey P. Dale, Feb 05 2012 *)
PROG
(Sage) [power_mod(3, n, 11)for n in range(0, 93)] # Zerinvary Lajos, Nov 24 2009
(PARI) a(n)=lift(Mod(3, 11)^n)
(PARI) a(n)=[1, 3, 9, 5, 4][n%5+1] \\ M. F. Hasler, Mar 04 2011
CROSSREFS
Sequence in context: A021257 A358190 A282529 * A245719 A085851 A373099
KEYWORD
nonn,easy
AUTHOR
N. J. A. Sloane, May 12 2002
STATUS
approved