A070360 a(n) = 3^n mod 38.

1, 3, 9, 27, 5, 15, 7, 21, 25, 37, 35, 29, 11, 33, 23, 31, 17, 13, 1, 3, 9, 27, 5, 15, 7, 21, 25, 37, 35, 29, 11, 33, 23, 31, 17, 13, 1, 3, 9, 27, 5, 15, 7, 21, 25, 37, 35, 29, 11, 33, 23, 31, 17, 13, 1, 3, 9, 27, 5, 15, 7, 21, 25, 37, 35, 29, 11, 33, 23, 31, 17, 13, 1, 3, 9, 27, 5

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 (1,0,0,0,0,0,0,0,-1,1).

Formula

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

a(n) = a(n-1) - a(n-9) + a(n-10).

G.f.: ( -1-2*x-6*x^2-18*x^3+22*x^4-10*x^5+8*x^6-14*x^7-4*x^8-13*x^9 ) / ( (x-1)*(1+x)*(x^2-x+1)*(x^6-x^3+1) ). (End)

a(n) = a(n-18). - G. C. Greubel, Mar 09 2016

Mathematica

PowerMod[3, #, 38]&/@Range[0, 100]  (* Harvey P. Dale, Feb 25 2011 *)
PowerMod[3, Range[0, 50], 38] (* or *) Table[Mod[3^n, 38], {n, 0, 100}] (* G. C. Greubel, Mar 09 2016 *)

Prog

(PARI) a(n)=lift(Mod(3, 38)^n) \\ Charles R Greathouse IV, Mar 22 2016

Crossrefs

Sequence in context: A036134 A317502 A213912 * A248131 A070346 A328754

Adjacent sequences: A070357 A070358 A070359 * A070361 A070362 A070363

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved