A070538 a(n) = n^4 mod 19.

0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4, 17, 9, 5, 16, 1, 0, 1, 16, 5, 9, 17, 4, 7, 11, 6, 6, 11, 7, 4

Offset

0,3

Comments

Equivalently: n^(18*m + 4) mod 19. - 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, 0, 1).

Formula

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

a(19*n) = 0.

a(n+19) = a(n). (End)

Mathematica

PowerMod[Range[0, 100], 4, 19] (* G. C. Greubel, Apr 05 2016 *)

Prog

(Sage) [power_mod(n, 4, 19)for n in range(0, 90)] # Zerinvary Lajos, Oct 31 2009
(PARI) a(n)=n^4%19 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A102411 A336782 A040245 * A296336 A198064 A233000

Adjacent sequences: A070535 A070536 A070537 * A070539 A070540 A070541

Keyword

nonn,easy

Author

N. J. A. Sloane, May 13 2002

Status

approved