A070551 a(n) = n^4 mod 23.

0, 1, 16, 12, 3, 4, 8, 9, 2, 6, 18, 13, 13, 18, 6, 2, 9, 8, 4, 3, 12, 16, 1, 0, 1, 16, 12, 3, 4, 8, 9, 2, 6, 18, 13, 13, 18, 6, 2, 9, 8, 4, 3, 12, 16, 1, 0, 1, 16, 12, 3, 4, 8, 9, 2, 6, 18, 13, 13, 18, 6, 2, 9, 8, 4, 3, 12, 16, 1, 0, 1, 16, 12, 3, 4, 8, 9, 2, 6, 18, 13, 13, 18, 6, 2, 9, 8, 4, 3

Offset

0,3

Comments

Equivalently: n^(22*m + 4) mod 23. - G. C. Greubel, Apr 06 2016

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).

Formula

From G. C. Greubel, Apr 06 2016: (Start)

a(23*n) = 0.

a(n+23) = a(n). (End)

Mathematica

PowerMod[Range[0, 90], 4, 23] (* Harvey P. Dale, Feb 25 2015 *)

Prog

(Sage) [power_mod(n, 4, 23)for n in range(0, 89)] # Zerinvary Lajos, Oct 31 2009
(PARI) a(n)=n^4%23 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A028695 A008665 A076823 * A028493 A291426 A299524

Adjacent sequences: A070548 A070549 A070550 * A070552 A070553 A070554

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved