A070381 a(n) = 5^n mod 33.

1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16, 14, 4, 20, 1, 5, 25, 26, 31, 23, 16

Offset

0,2

Links

G. C. Greubel, Table of n, a(n) for n = 0..1000

Index entries for linear recurrences with constant coefficients, signature (0,0,0,0,0,0,0,0,0,1). [R. J. Mathar, Apr 20 2010]

Formula

From R. J. Mathar, Apr 20 2010: (Start)

a(n) = a(n-10).

G.f.: ( -1-5*x-25*x^2-26*x^3-31*x^4-23*x^5-16*x^6-14*x^7-4*x^8-20*x^9 ) / ( (x-1)*(1+x)*(x^4+x^3+x^2+x+1)*(x^4-x^3+x^2-x+1) ). (End)

Mathematica

PowerMod[5, Range[0, 80], 33] (* or *) PadRight[{}, 80, {1, 5, 25, 26, 31, 23, 16, 14, 4, 20}] (* Harvey P. Dale, Jan 21 2014 *)

Prog

(Sage) [power_mod(5, n, 33) for n in range(0, 77)] # Zerinvary Lajos, Nov 26 2009
(PARI) a(n) = lift(Mod(5, 33)^n); \\ Altug Alkan, Mar 16 2016

Crossrefs

Sequence in context: A043057 A137112 A037410 * A136912 A137111 A137110

Adjacent sequences: A070378 A070379 A070380 * A070382 A070383 A070384

Keyword

nonn

Author

N. J. A. Sloane, May 12 2002

Status

approved