A070504 a(n) = n^3 mod 42.

0, 1, 8, 27, 22, 41, 6, 7, 8, 15, 34, 29, 6, 13, 14, 15, 22, 41, 36, 13, 20, 21, 22, 29, 6, 1, 20, 27, 28, 29, 36, 13, 8, 27, 34, 35, 36, 1, 20, 15, 34, 41, 0, 1, 8, 27, 22, 41, 6, 7, 8, 15, 34, 29, 6, 13, 14, 15, 22, 41, 36, 13, 20, 21, 22, 29, 6, 1, 20, 27, 28, 29, 36, 13, 8, 27

Offset

0,3

Comments

Equivalently: n^(6*m + 3) mod 42. - 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, 0, 0, 0, 0, 1).

Formula

a(n) = a(n-42). - G. C. Greubel, Mar 31 2016

Mathematica

PowerMod[Range[0, 80], 3, 42] (* Bruno Berselli, Mar 31 2016 *)

Prog

(SageMath) [power_mod(n, 3, 42) for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 42): n in [0..80]]; // Bruno Berselli, Mar 31 2016
(PARI) a(n)=n^3%42 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A070507 A070506 A070505 * A070503 A070502 A070721

Adjacent sequences: A070501 A070502 A070503 * A070505 A070506 A070507

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved