A021069 Decimal expansion of 1/65.
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, 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, 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
Offset: 0
Examples
0.0153846153846... - _Natan Arie Consigli_, Sep 18 2016
Links
- G. C. Greubel, Table of n, a(n) for n = 0..10000
- Christian Táfula, Knights are 24/13 times faster than the king, arXiv:2405.19589 [math.CO], 2024.
- Index entries for linear recurrences with constant coefficients, signature (1,0,-1,1).
Programs
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Magma
1./65; // G. C. Greubel, Jan 15 2018
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Maple
Digits:=100: evalf(1/65); # Wesley Ivan Hurt, Sep 20 2016
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Mathematica
Join[ConstantArray[0, Abs@ Last@ #], First@ #] &@ RealDigits[N[1/65, 120]] (* Michael De Vlieger, Sep 06 2016 *)
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PARI
1./65. /* Michel Marcus, Aug 22 2016 */
Formula
Equals 2 - 24/13. See Táfula link. - Michel Marcus, May 31 2024
G.f.: x*(1 + 4*x - 2*x^2 + 6*x^3)/((1 - x)*(1 + x)*(1 - x + x^2)). - Stefano Spezia, Apr 30 2025
Comments