A070502 a(n) = n^3 mod 40.

0, 1, 8, 27, 24, 5, 16, 23, 32, 9, 0, 11, 8, 37, 24, 15, 16, 33, 32, 19, 0, 21, 8, 7, 24, 25, 16, 3, 32, 29, 0, 31, 8, 17, 24, 35, 16, 13, 32, 39, 0, 1, 8, 27, 24, 5, 16, 23, 32, 9, 0, 11, 8, 37, 24, 15, 16, 33, 32, 19, 0, 21, 8, 7, 24, 25, 16, 3, 32, 29, 0, 31, 8, 17, 24, 35, 16

Offset

0,3

Comments

Equivalently: n^(4*m + 3) mod 40. - 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, 1).

Formula

a(n+40) = a(n). If n even, a(n+20) = a(n). - R. J. Mathar, Sep 25 2008

a(10*m) = 0. - G. C. Greubel, Mar 31 2016

Mathematica

PowerMod[Range[0, 100], 3, 40] (* Harvey P. Dale, Aug 21 2012 *)

Prog

(Sage) [power_mod(n, 3, 40 )for n in range(0, 77)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 40): n in [0..80]]; // Vincenzo Librandi, Mar 31 2016
(PARI) a(n)=n^3%40 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A070505 A070504 A070503 * A070721 A070501 A070500

Adjacent sequences: A070499 A070500 A070501 * A070503 A070504 A070505

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved