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 A185123 #25 May 18 2021 11:53:36 %S A185123 11,191,1991,19991,199991,1999991,19999991,199999991,1999999991, %T A185123 19999999991,199999999991,1999999999991,19999999999991, %U A185123 199999999999991,1999999999999991,19999999999999991,199999999999999991,1999999999999999991,19999999999999999991 %N A185123 a(n) = n 9's sandwiched between two 1's. %H A185123 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10). %F A185123 a(n) = 20*10^n - 9. - _Charles R Greathouse IV_, Jan 20 2012 %F A185123 a(0)=11, a(n) = 10*a(n-1) + 81. %F A185123 From _G. C. Greubel_, Jun 22 2017: (Start) %F A185123 G.f.: (11 + 70*x)/( (1-x)*(1-10*x) ). %F A185123 E.g.f.: 20*exp(10*x) - 9*exp(x). (End) %t A185123 H[n_]:=10^n+1+Sum[10^i*9,{i,1,n-1}];Array[H,100] %t A185123 CoefficientList[Series[(11 + 70*x)/( (1-x)*(1-10*x) ), {x,0,50}], x] (* _G. C. Greubel_, Jun 23 2017 *) %t A185123 Table[10FromDigits[PadRight[{1},n,9]]+1,{n,20}] (* or *) LinearRecurrence[ {11,-10},{11,191},20] (* _Harvey P. Dale_, May 18 2021 *) %o A185123 (PARI) a(n)=20*10^n-9 \\ _Charles R Greathouse IV_, Jan 20 2012 %Y A185123 Cf.A132583 %K A185123 nonn,easy,less,base %O A185123 0,1 %A A185123 _José María Grau Ribas_, Jan 20 2012