cp's OEIS Frontend

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.

A173735 a(n) = (10^n + 26)/9.

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%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