A070429 a(n) = 7^n mod 47.

1, 7, 2, 14, 4, 28, 8, 9, 16, 18, 32, 36, 17, 25, 34, 3, 21, 6, 42, 12, 37, 24, 27, 1, 7, 2, 14, 4, 28, 8, 9, 16, 18, 32, 36, 17, 25, 34, 3, 21, 6, 42, 12, 37, 24, 27, 1, 7, 2, 14, 4, 28, 8, 9, 16, 18, 32, 36, 17, 25, 34, 3, 21, 6, 42, 12, 37, 24, 27, 1, 7, 2, 14, 4, 28, 8, 9, 16, 18, 32

Offset: 0

Author

N. J. A. Sloane, May 12 2002

Keywords

• nonn
• easy

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

Programs

Magma

[Modexp(7, n, 47): n in [0..100]]; // Bruno Berselli, Mar 22 2016

Mathematica

PowerMod[7,Range[0,80],47] (* Harvey P. Dale, Jan 01 2013 *)

PARI

a(n)=lift(Mod(7,47)^n) \\ Charles R Greathouse IV, Mar 22 2016

Sage

[power_mod(7,n,47)for n in range(0,80)] # Zerinvary Lajos, Nov 27 2009

Formula

a(n) = a(n-23). - G. C. Greubel, Mar 22 2016