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 A113657 #10 Aug 01 2024 10:38:24
%S A113657 0,0,0,9,1,8,2,7,3,6,4,5,5,4,6,3,7,2,8,1,9,1,0,0,0,9,1,8,2,7,3,6,4,5,
%T A113657 5,4,6,3,7,2,8,1,9,1,0,0,0,9,1,8,2,7,3,6,4,5,5,4,6,3,7,2,8,1,9,1,0,0,
%U A113657 0,9,1,8,2,7,3,6,4,5,5,4,6,3,7,2,8,1,9,1,0,0,0,9,1,8,2,7,3,6
%N A113657 Decimal expansion of 1/1089.
%C A113657 This sequence can also be produced by Sqrt[11111111111111111111111111111111111111111111] =11*Sqrt[91827364554637281910009182736455463728191], where Sqrt is the square root. In fact we found this from the square root and later looked for the same sequence in the expansion.
%C A113657 Comment from _Eric Desbiaux_, Apr 08 2008: Also, of course, decimal expansion of 9/9801. Note that
%C A113657 99/9801 = 0.0101010101010101010101...,
%C A113657 9999/9801 = 1.02020202020202020202020...,
%C A113657 999999/9801 = 102.0303030303030303030303...,
%C A113657 99999999/9801 = 10203.040404040404040404040404..., etc.
%H A113657 <a href="/index/Rec#order_22">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%e A113657 0.0009182736455463728191000918273645546372819100091827364554...
%t A113657 m = 21; Sqrt[Apply[Plus, Table[11*100^k, {k, 0, m}]]]
%Y A113657 Cf. A137301-A137304.
%Y A113657 Cf. A021895, A021085.
%K A113657 easy,nonn,cons
%O A113657 0,4
%A A113657 _Ryohei Miyadera_, Jan 16 2006
%E A113657 Edited by _N. J. A. Sloane_, May 15 2008, at the suggestion of _R. J. Mathar_.