A173735 - OEIS

%I #24 Sep 08 2022 08:45:50

%S 3,4,14,114,1114,11114,111114,1111114,11111114,111111114,1111111114,

%T 11111111114,111111111114,1111111111114,11111111111114,

%U 111111111111114,1111111111111114,11111111111111114,111111111111111114

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

%H Vincenzo Librandi, <a href="/A173735/b173735.txt">Table of n, a(n) for n = 0..100</a> (term 0 added by Ivan Panchenko)

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (11,-10).

%F a(n) = a(n-1)+10^(n-1) = 10*a(n-1)-26, a(0)=3.

%F a(n) = 11*a(n-1)-10*a(n-2). - _Vincenzo Librandi_, Jul 05 2012

%F a(n) = (A002279(n-1)+2)*2. - _Martin Ettl_, Nov 12 2012

%F G.f.: (3-29*x)/((1-x)*(1-10*x)). - _Ivan Panchenko_, Nov 05 2013

%t CoefficientList[Series[(3-29*x)/((1-x)*(1-10*x)),{x,0,30}],x] (* _Ivan Panchenko_, Nov 05 2013 *)

%o (Magma) [(10^n+26)/9: n in [0..20]]; // _Ivan Panchenko_, Nov 05 2013

%o (Maxima) A173735(n):=(10^n+26)/9$

%o makelist(A173735(n),n,0,20); /* _Ivan Panchenko_, Nov 03 2013 */

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Feb 23 2010

%E a(0) from Ivan Panchenko, Nov 05 2013