A140529 - OEIS

%I #18 Sep 08 2022 08:45:34

%S 5,23,95,383,1535,6143,24575,98303,393215,1572863,6291455,25165823,

%T 100663295,402653183,1610612735,6442450943,25769803775,103079215103,

%U 412316860415,1649267441663,6597069766655,26388279066623,105553116266495

%N a(n) = 6*4^n - 1.

%H Vincenzo Librandi, <a href="/A140529/b140529.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (5,-4).

%F a(n) = 4*a(n-1) + 3, a(0)=5.

%F a(n) = A002023(n) - 1 = A000302(n+1) + A083420(n).

%F G.f.: ( 5-2*x ) / ( (4*x-1)*(x-1) ). - _R. J. Mathar_, Jul 08 2022

%t NestList[4#+3&,5,30] (* _Harvey P. Dale_, Jan 14 2022 *)

%o (Magma) [6*4^n-1: n in [0..30]]; // _Vincenzo Librandi_, Aug 08 2011

%Y Cf. A028894.

%K nonn,easy

%O 0,1

%A _Paul Curtz_, Jul 03 2008