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A198768 9*5^n-1. 1

%I

%S 8,44,224,1124,5624,28124,140624,703124,3515624,17578124,87890624,

%T 439453124,2197265624,10986328124,54931640624,274658203124,

%U 1373291015624,6866455078124,34332275390624,171661376953124,858306884765624

%N 9*5^n-1.

%H Vincenzo Librandi, <a href="/A198768/b198768.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/Sindx_Rea.html#recLCC">Index to sequences with linear recurrences with constant coefficients</a>, signature (6,-5).

%F a(n) = 5*a(n-1)+4.

%F a(n) = 6*a(n-1)-5*a(n-2), n>1.

%F G.f.: (8 - 4*x)/(1 - 6*x + 5*x^2). - _Vincenzo Librandi_, Jan 03 2013

%t 9 5^Range[0, 20] - 1 (* or *) LinearRecurrence[{6, -5}, {8, 44}, 20] (* _Harvey P. Dale_, Nov 01 2011 *)

%t CoefficientList[Series[(8 - 4 x)/(1 - 6 x + 5 x^2), {x, 0, 30}], x] (* _Vincenzo Librandi_, Jan 03 2013 *)

%o (MAGMA) [9*5^n-1: n in [0..30]];

%Y Cf. A024049, A057651, A081655.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 30 2011

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Last modified May 24 15:56 EDT 2013. Contains 225624 sequences.