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A173806 a(n) = (7*10^n-61)/9 for n>0. 2

%I #14 Sep 08 2022 08:45:50

%S 1,71,771,7771,77771,777771,7777771,77777771,777777771,7777777771,

%T 77777777771,777777777771,7777777777771,77777777777771,

%U 777777777777771,7777777777777771,77777777777777771,777777777777777771

%N a(n) = (7*10^n-61)/9 for n>0.

%H Vincenzo Librandi, <a href="/A173806/b173806.txt">Table of n, a(n) for n = 1..100</a>

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

%F a(n) = 10*a(n-1)+61 with n>0, a(0)=-6.

%F G.f.: x*(1+60*x)/((1-x)*(1-10*x)). - _Vincenzo Librandi_, Jul 05 2012

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

%t CoefficientList[Series[(1+60*x)/((1-x)*(1-10*x)),{x,0,30}],x] (* _Vincenzo Librandi_, Jul 05 2012 *)

%o (Magma)[(7*10^n-61)/9: n in [1..20]]; // _Vincenzo Librandi_, Jul 05 2012

%Y Cf. A093176.

%K nonn,easy

%O 1,2

%A _Vincenzo Librandi_, Feb 25 2010

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Last modified April 20 00:58 EDT 2024. Contains 371798 sequences. (Running on oeis4.)