A070426 a(n) = 7^n mod 44.

1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19, 1, 7, 5, 35, 25, 43, 37, 39, 9, 19

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). - R. J. Mathar, Apr 20 2010

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 -30*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 22 2016

Mathematica

PowerMod[7, Range[0, 80], 44] (* or *) PadLeft[{}, 80, {1, 7, 5, 35, 25, 43, 37, 39, 9, 19}] (* Harvey P. Dale, Oct 06 2011 *)

Prog

(Sage) [power_mod(7, n, 44) for n in range(0, 80)] # Zerinvary Lajos, Nov 27 2009
(PARI) a(n)=lift(Mod(7, 44)^n) \\ Charles R Greathouse IV, Mar 22 2016
(Magma) [Modexp(7, n, 44): n in [0..100]]; // Bruno Berselli, Mar 22 2016

Crossrefs

Sequence in context: A185269 A344917 A328758 * A341431 A142883 A146382

Adjacent sequences: A070423 A070424 A070425 * A070427 A070428 A070429

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved