login
a(n) = n^3 mod 34.
1

%I #26 Dec 18 2023 15:00:22

%S 0,1,8,27,30,23,12,3,2,15,14,5,28,21,24,9,16,17,18,25,10,13,6,29,20,

%T 19,32,31,22,11,4,7,26,33,0,1,8,27,30,23,12,3,2,15,14,5,28,21,24,9,16,

%U 17,18,25,10,13,6,29,20,19,32,31,22,11,4,7,26,33,0,1,8,27,30,23,12,3,2,15

%N a(n) = n^3 mod 34.

%H Harvey P. Dale, <a href="/A070496/b070496.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_34">Index entries for linear recurrences with constant coefficients</a>, 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, 1).

%F a(n) = a(n-34). - _G. C. Greubel_, Mar 30 2016

%p A070496:=n->n^3 mod 34; seq(A070496(n), n=0..100); # _Wesley Ivan Hurt_, Nov 20 2013

%t PowerMod[Range[0,80],3,34] (* _Harvey P. Dale_, Oct 02 2011 *)

%o (Sage) [power_mod(n,3,34 )for n in range(0,78)] # _Zerinvary Lajos_, Oct 30 2009

%o (PARI) a(n)=n^3%34 \\ _Charles R Greathouse IV_, Apr 06 2016

%Y Cf. A070456.

%K nonn,easy

%O 0,3

%A _N. J. A. Sloane_, May 12 2002