A070535 a(n) = n^4 mod 18.

0, 1, 16, 9, 4, 13, 0, 7, 10, 9, 10, 7, 0, 13, 4, 9, 16, 1, 0, 1, 16, 9, 4, 13, 0, 7, 10, 9, 10, 7, 0, 13, 4, 9, 16, 1, 0, 1, 16, 9, 4, 13, 0, 7, 10, 9, 10, 7, 0, 13, 4, 9, 16, 1, 0, 1, 16, 9, 4, 13, 0, 7, 10, 9, 10, 7, 0, 13, 4, 9, 16, 1, 0, 1, 16, 9, 4, 13, 0, 7, 10, 9, 10, 7, 0, 13, 4, 9, 16, 1

Offset

0,3

Comments

Equivalently: n^(6*m+4) mod 18. - G. C. Greubel, Apr 05 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, 1).

Formula

From G. C. Greubel, Apr 05 2016: (Start)

a(6*n) = 0.

a(n+18) = a(n). (End)

Mathematica

PowerMod[Range[0, 100], 4, 18] (* G. C. Greubel, Apr 05 2016 *)
PadRight[{}, 120, {0, 1, 16, 9, 4, 13, 0, 7, 10, 9, 10, 7, 0, 13, 4, 9, 16, 1}] (* Harvey P. Dale, Mar 01 2023 *)

Prog

(Sage) [power_mod(n, 4, 18)for n in range(0, 90)] # Zerinvary Lajos, Oct 31 2009
(PARI) a(n)=n^4%18 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A164703 A153724 A183396 * A070579 A278829 A066905

Adjacent sequences: A070532 A070533 A070534 * A070536 A070537 A070538

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved