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 A229903 #19 Feb 10 2024 12:18:21 %S A229903 190,19190,191919190,19191919190,191919191919190,19191919191919190, %T A229903 191919191919191919190,19191919191919191919190, %U A229903 191919191919191919191919190,19191919191919191919191919190,191919191919191919191919191919190 %N A229903 a(n) = (190/99)*(100^A001651(n)-1). %C A229903 This sequence is a subsequence of A097647. Because if 3 does not divide m then gcd(100^m-1,19*91)=1 and we have phi(190*(100^m-1)/99)=phi(190)*phi((100^m-1)/9)=phi(91)*phi((100^m-1)/99)=phi(91*(100^m-1)/99)=phi(reversal(190*(100^m-1)/99)). %H A229903 <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (1,1000000,-1000000). %F A229903 a(n) = (100/99)*(100^floor((3n-1)/2)-1). %F A229903 G.f.: 190*x*(10000*x^2+100*x+1) / ((x-1)*(1000*x-1)*(1000*x+1)). - _Colin Barker_, Nov 01 2013 %t A229903 Table[190/99*(100^Floor[(3n-1)/2]-1),{n,11}] %o A229903 (PARI) Vec(190*x*(10000*x^2+100*x+1)/((x-1)*(1000*x-1)*(1000*x+1)) + O(x^100)) \\ _Colin Barker_, Nov 01 2013 %Y A229903 Cf. A000010, A001651, A004086, A097647. %K A229903 nonn,easy %O A229903 1,1 %A A229903 _Jahangeer Kholdi_, Oct 17 2013