A070506 a(n) = n^3 mod 44.

0, 1, 8, 27, 20, 37, 40, 35, 28, 25, 32, 11, 12, 41, 16, 31, 4, 29, 24, 39, 36, 21, 0, 23, 8, 5, 20, 15, 40, 13, 28, 3, 32, 33, 12, 19, 16, 9, 4, 7, 24, 17, 36, 43, 0, 1, 8, 27, 20, 37, 40, 35, 28, 25, 32, 11, 12, 41, 16, 31, 4, 29, 24, 39, 36, 21, 0, 23, 8, 5, 20, 15, 40, 13, 28, 3

Offset

0,3

Comments

Equivalently: n^(10*m + 3) mod 44. - 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, 0, 0, 1).

Formula

From G. C. Greubel, Mar 31 2016: (Start)

a(22*m) = 0.

a(n+44) = a(n). (End)

Mathematica

PowerMod[Range[0, 80], 3, 44] (* Harvey P. Dale, Jun 25 2013 *)

Prog

(SageMath) [power_mod(n, 3, 44) for n in range(0, 76)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 44): n in [0..80]]; // Bruno Berselli, Mar 31 2016
(PARI) a(n)=n^3%44 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A070509 A070508 A070507 * A070505 A070504 A070503

Adjacent sequences: A070503 A070504 A070505 * A070507 A070508 A070509

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved