A070500 a(n) = n^3 mod 38.

0, 1, 8, 27, 26, 11, 26, 1, 18, 7, 12, 1, 18, 31, 8, 31, 30, 11, 18, 19, 20, 27, 8, 7, 30, 7, 20, 37, 26, 31, 20, 37, 12, 27, 12, 11, 30, 37, 0, 1, 8, 27, 26, 11, 26, 1, 18, 7, 12, 1, 18, 31, 8, 31, 30, 11, 18, 19, 20, 27, 8, 7, 30, 7, 20, 37, 26, 31, 20, 37, 12, 27, 12, 11, 30

Offset

0,3

Comments

Equivalently: n^(18*m+3) mod 38. - G. C. Greubel, Mar 31 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, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).

Formula

a(n) = a(n-38). - G. C. Greubel, Mar 31 2016

Mathematica

PowerMod[Range[0, 100], 3, 38] (* G. C. Greubel, Mar 31 2016 *)

Prog

(SageMath) [power_mod(n, 3, 38) for n in range(0, 75)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 38): n in [0..100]]; // Vincenzo Librandi, Mar 31 2016
(PARI) a(n)=n^3%38 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A070502 A070721 A070501 * A100499 A070499 A077107

Adjacent sequences: A070497 A070498 A070499 * A070501 A070502 A070503

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved