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A021101 Decimal expansion of 1/97.

%I A021101 #49 Jan 11 2025 15:24:56
%S A021101 0,1,0,3,0,9,2,7,8,3,5,0,5,1,5,4,6,3,9,1,7,5,2,5,7,7,3,1,9,5,8,7,6,2,
%T A021101 8,8,6,5,9,7,9,3,8,1,4,4,3,2,9,8,9,6,9,0,7,2,1,6,4,9,4,8,4,5,3,6,0,8,
%U A021101 2,4,7,4,2,2,6,8,0,4,1,2,3,7,1,1,3,4,0,2,0,6,1,8,5,5,6,7,0,1,0
%N A021101 Decimal expansion of 1/97.
%C A021101 From _Daniel Forgues_, Oct 28 2011: (Start)
%C A021101 Generalization:
%C A021101 1/7 = Sum_{i>=0} 3^i/10^(i+1) (A020806)
%C A021101 1/97 = Sum_{i>=0} 3^i/100^(i+1) (this sequence);
%C A021101 1/997 = Sum_{i>=0} 3^i/1000^(i+1) (A022001);
%C A021101 1/9997 = Sum_{i>=0} 3^i/1000^(i+1); ... (End)
%D A021101 Albert H. Beiler, Recreations in the theory of numbers, New York, Dover, (2nd ed.) 1966. See p. 77.
%H A021101 <a href="/index/Rec#order_49">Index entries for linear recurrences with constant coefficients</a>, signature (1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,1).
%e A021101 0.0103092783505154639175257731...
%t A021101 First@ RealDigits[1/97, 10, 100, -1] (* _Vincenzo Librandi_, Jan 04 2025 *)
%o A021101 (PARI) localprec(98); 1/97. \\ _Michel Marcus_, Dec 31 2024
%o A021101 (Magma) [0] cat Reverse(Intseq(Floor(10^100/97))); // _Vincenzo Librandi_, Jan 04 2025
%Y A021101 Cf. A020806, A022001.
%K A021101 nonn,cons,easy
%O A021101 0,4
%A A021101 _N. J. A. Sloane_