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 A021097 #24 Jul 08 2025 08:01:31 %S A021097 0,1,0,7,5,2,6,8,8,1,7,2,0,4,3,0,1,0,7,5,2,6,8,8,1,7,2,0,4,3,0,1,0,7, %T A021097 5,2,6,8,8,1,7,2,0,4,3,0,1,0,7,5,2,6,8,8,1,7,2,0,4,3,0,1,0,7,5,2,6,8, %U A021097 8,1,7,2,0,4,3,0,1,0,7,5,2,6,8,8,1,7,2,0,4,3,0,1,0,7,5,2,6,8,8 %N A021097 Decimal expansion of 1/93. %C A021097 Generalization: %C A021097 1/3 = Sum_{i >= 0} 7^i/10^(i+1); %C A021097 1/93 = Sum_{i >= 0} 7^i/100^(i+1) (this sequence); %C A021097 1/993 = Sum_{i >= 0} 7^i/1000^(i+1); %C A021097 1/9993 = Sum_{i >= 0} 7^i/10000^(i+1), etc. - _Daniel Forgues_, Oct 28 2011 %C A021097 In other words, given n > 1, the decimal expansion of 1/(10^n - 3) contains the first n powers of 7 (including 7^0 = 1) separated by n - 1 zeroes. - _Alonso del Arte_, Aug 10 2017 %H A021097 <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (0,0,0,0,0,0,0,0,0,0,0,0,0,0,1). %e A021097 0.010752688172043010752688172... %t A021097 RealDigits[1/93, 10, 100][[1]] (* _Alonso del Arte_, Aug 10 2017 *) %Y A021097 Cf. A010701, A000420. %K A021097 nonn,cons,easy %O A021097 0,4 %A A021097 _N. J. A. Sloane_