This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.
%I A021069 #71 May 01 2025 03:21:29 %S A021069 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 A021069 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 A021069 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 A021069 Decimal expansion of 1/65. %C A021069 Without the leading 0 also the decimal expansion of 2/13. %H A021069 G. C. Greubel, <a href="/A021069/b021069.txt">Table of n, a(n) for n = 0..10000</a> %H A021069 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 A021069 <a href="/index/Rec#order_04">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,-1,1). %F A021069 Equals 2 - 24/13. See Táfula link. - _Michel Marcus_, May 31 2024 %F A021069 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 %e A021069 0.0153846153846... - _Natan Arie Consigli_, Sep 18 2016 %p A021069 Digits:=100: evalf(1/65); # _Wesley Ivan Hurt_, Sep 20 2016 %t A021069 Join[ConstantArray[0, Abs@ Last@ #], First@ #] &@ RealDigits[N[1/65, 120]] (* _Michael De Vlieger_, Sep 06 2016 *) %o A021069 (PARI) 1./65. /* _Michel Marcus_, Aug 22 2016 */ %o A021069 (Magma) 1./65; // _G. C. Greubel_, Jan 15 2018 %Y A021069 Cf. A010734, A020806, A021017, A021095, A128834, A130806, A144472. %K A021069 nonn,cons,easy %O A021069 0,3 %A A021069 _N. J. A. Sloane_