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

Author

N. J. A. Sloane, May 12 2002

Keywords

• nonn
• easy

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).

Programs

Magma

[Modexp(n, 3, 48): n in [0..80]]; // Bruno Berselli, Mar 31 2016

Mathematica

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

PARI

a(n)=n^3%48 \\ Charles R Greathouse IV, Apr 06 2016

Sage

[power_mod(n,3,48) for n in range(0, 78)] # Zerinvary Lajos, Oct 30 2009

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)