A070408 a(n) = 7^n mod 22.

1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13, 3, 21, 15, 17, 9, 19, 1, 7, 5, 13

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,-1,1).

Formula

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

a(n) = a(n-1) - a(n-5) + a(n-6).

G.f.: ( -1-6*x+2*x^2-8*x^3+10*x^4-19*x^5 ) / ( (x-1)*(1+x)*(x^4-x^3+x^2-x+1) ). (End)

a(n) = a(n-10). - G. C. Greubel, Mar 20 2016

Mathematica

PowerMod[7, Range[0, 50], 22] (* G. C. Greubel, Mar 20 2016 *)

Prog

(Sage) [power_mod(7, n, 22) for n in range(0, 84)] # Zerinvary Lajos, Nov 27 2009
(PARI) a(n) = lift(Mod(7, 22)^n); \\ Altug Alkan, Mar 20 2016
(Magma) [Modexp(7, n, 22): n in [0..100]]; // Bruno Berselli, Mar 22 2016

Crossrefs

Sequence in context: A135766 A067745 A369797 * A176672 A107471 A332768

Adjacent sequences: A070405 A070406 A070407 * A070409 A070410 A070411

Keyword

nonn

Author

N. J. A. Sloane, May 12 2002

Status

approved