A021069 - OEIS

%I #63 May 31 2024 06:13:23

%S 0,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,

%T 8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,

%U 5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5,3,8,4,6,1,5

%N Decimal expansion of 1/65.

%C Without the leading 0 also the decimal expansion of 2/13.

%H G. C. Greubel, <a href="/A021069/b021069.txt">Table of n, a(n) for n = 0..10000</a>

%H Christian Táfula, <a href="https://arxiv.org/abs/2405.19589">Knights are 24/13 times faster than the king</a>, arXiv:2405.19589 [math.CO], 2024.

%H <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,-1,1).

%F Equals 2 - 24/13. See Táfula link. - _Michel Marcus_, May 31 2024

%e 0.0153846153846...  - _Natan Arie Consigli_, Sep 18 2016

%p Digits:=100: evalf(1/65); # _Wesley Ivan Hurt_, Sep 20 2016

%t Join[ConstantArray[0, Abs@ Last@ #], First@ #] &@ RealDigits[N[1/65, 120]] (* _Michael De Vlieger_, Sep 06 2016 *)

%o (PARI) 1./65. /* _Michel Marcus_, Aug 22 2016 */

%o (Magma) 1./65 // _G. C. Greubel_, Jan 15 2018

%Y Cf. A010734, A020806, A021017, A021095, A128834, A130806, A144472.

%K nonn,cons,easy

%O 0,3

%A _N. J. A. Sloane_