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 A173735 #32 Sep 01 2025 23:43:45 %S A173735 3,4,14,114,1114,11114,111114,1111114,11111114,111111114,1111111114, %T A173735 11111111114,111111111114,1111111111114,11111111111114, %U A173735 111111111111114,1111111111111114,11111111111111114,111111111111111114,1111111111111111114,11111111111111111114,111111111111111111114 %N A173735 a(n) = (10^n + 26)/9. %H A173735 Vincenzo Librandi, <a href="/A173735/b173735.txt">Table of n, a(n) for n = 0..100</a> (term 0 added by Ivan Panchenko) %H A173735 <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10). %F A173735 a(n) = a(n-1) + 10^(n-1) = 10*a(n-1) - 26, a(0)=3. %F A173735 a(n) = 11*a(n-1) - 10*a(n-2). - _Vincenzo Librandi_, Jul 05 2012 %F A173735 a(n) = 2*(A002279(n-1) + 2). - _Martin Ettl_, Nov 12 2012 %F A173735 G.f.: (3-29*x)/((1-x)*(1-10*x)). - _Ivan Panchenko_, Nov 05 2013 %F A173735 From _Elmo R. Oliveira_, Jun 18 2025: (Start) %F A173735 E.g.f.: exp(x)*(26 + exp(9*x))/9. %F A173735 a(n) = 2*A178769(n-1) for n >= 1. (End) %t A173735 CoefficientList[Series[(3-29*x)/((1-x)*(1-10*x)),{x,0,30}],x] (* _Ivan Panchenko_, Nov 05 2013 *) %o A173735 (Magma) [(10^n+26)/9: n in [0..20]]; // _Ivan Panchenko_, Nov 05 2013 %o A173735 (Maxima) A173735(n):=(10^n+26)/9$ %o A173735 makelist(A173735(n),n,0,20); /* _Ivan Panchenko_, Nov 03 2013 */ %Y A173735 Cf. A002279, A178769. %K A173735 nonn,easy,changed %O A173735 0,1 %A A173735 _Vincenzo Librandi_, Feb 23 2010 %E A173735 a(0) from _Ivan Panchenko_, Nov 05 2013