A070383 a(n) = 5^n mod 36.

1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29, 1, 5, 25, 17, 13, 29

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

Formula

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

a(n) = a(n-6).

G.f.: ( -1-5*x-25*x^2-17*x^3-13*x^4-29*x^5 ) / ( (x-1)*(1+x)*(1+x+x^2)*(x^2-x+1) ). (End)

Mathematica

PowerMod[5, Range[0, 50], 36] (* G. C. Greubel, Mar 16 2016 *)

Prog

(Sage) [power_mod(5, n, 36) for n in range(0, 78)] # Zerinvary Lajos, Nov 26 2009
(PARI) a(n) = lift(Mod(5, 36)^n); \\ Altug Alkan, Mar 16 2016

Crossrefs

Sequence in context: A070384 A337392 A070377 * A070061 A070376 A036139

Adjacent sequences: A070380 A070381 A070382 * A070384 A070385 A070386

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved