%I #16 Sep 08 2022 08:46:00
%S 1,15,127,1023,8191,65535,524287,4194303,33554431,268435455,
%T 2147483647,17179869183,137438953471,1099511627775,8796093022207,
%U 70368744177663,562949953421311,4503599627370495,36028797018963967
%N 2*8^n-1
%H Vincenzo Librandi, <a href="/A198850/b198850.txt">Table of n, a(n) for n = 0..1000</a>
%H <a href="/index/Rec">Index entries for linear recurrences with constant coefficients</a>, signature (9,-8).
%F a(n) = 8*a(n-1)+7. a(n) = 9*a(n-1)-8*a(n-2), n>1.
%F G.f. ( 1+6*x ) / ( (8*x-1)*(x-1) ). - R. J. Mathar, Oct 31 2011
%o (Magma) [2*8^n-1: n in [0..30]]
%K nonn,easy
%O 0,2
%A _Vincenzo Librandi_, Oct 31 2011
|