A070510 a(n) = n^3 mod 48.

0, 1, 8, 27, 16, 29, 24, 7, 32, 9, 40, 35, 0, 37, 8, 15, 16, 17, 24, 43, 32, 45, 40, 23, 0, 25, 8, 3, 16, 5, 24, 31, 32, 33, 40, 11, 0, 13, 8, 39, 16, 41, 24, 19, 32, 21, 40, 47, 0, 1, 8, 27, 16, 29, 24, 7, 32, 9, 40, 35, 0, 37, 8, 15, 16, 17, 24, 43, 32, 45, 40, 23, 0, 25, 8, 3, 16, 5

Offset

0,3

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, 0, 0, 0, 0, 1).

Formula

From G. C. Greubel, Apr 01 2016: (Start)

a(n) = a(n-48).

a(12*m) = 0.

a(2*n) = 8*A010875(n). (End)

Mathematica

PowerMod[Range[0, 80], 3, 48] (* Harvey P. Dale, Apr 03 2013 *)

Prog

(SageMath) [power_mod(n, 3, 48) for n in range(0, 78)] # Zerinvary Lajos, Oct 30 2009
(Magma) [Modexp(n, 3, 48): n in [0..80]]; // Bruno Berselli, Mar 31 2016
(PARI) a(n)=n^3%48 \\ Charles R Greathouse IV, Apr 06 2016

Crossrefs

Sequence in context: A386704 A102637 A250140 * A224787 A361264 A070509

Adjacent sequences: A070507 A070508 A070509 * A070511 A070512 A070513

Keyword

nonn,easy

Author

N. J. A. Sloane, May 12 2002

Status

approved