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A021100 Decimal expansion of 1/96.

%I A021100 #27 Aug 06 2024 14:49:38
%S A021100 0,1,0,4,1,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
%T A021100 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,
%U A021100 6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6
%N A021100 Decimal expansion of 1/96.
%C A021100 From _Daniel Forgues_, Oct 28 2011: (Start)
%C A021100 Generalization:
%C A021100      1/6 = Sum_{i>=0} 4^i/10^(i+1);
%C A021100     1/96 = Sum_{i>=0} 4^i/100^(i+1) (this sequence);
%C A021100    1/996 = Sum_{i>=0} 4^i/1000^(i+1);
%C A021100   1/9996 = Sum_{i>=0} 4^i/10000^(i+1); ... (End)
%H A021100 <a href="/index/Rec#order_01">Index entries for linear recurrences with constant coefficients</a>, signature (1).
%F A021100 From _Elmo R. Oliveira_, Aug 05 2024: (Start)
%F A021100 G.f.: x*(1 - x + 4*x^2 - 3*x^3 + 5*x^4)/(1 - x).
%F A021100 a(n) = 6 for n > 4. (End)
%F A021100 E.g.f.: 6*(exp(x) - 1) - 5*x - 3*x^2 - x^3/3 - 5*x^4/24. - _Stefano Spezia_, Aug 06 2024
%e A021100 0.0104166666666666666666666666666...
%t A021100 Join[{0}, RealDigits[1/96, 10, 96][[1]]] (* _Alonso del Arte_, Apr 24 2018 *)
%o A021100 (PARI) 1/96. \\ _Altug Alkan_, Apr 24 2018
%K A021100 nonn,cons,easy
%O A021100 0,4
%A A021100 _N. J. A. Sloane_