A199554 - OEIS

%I #18 Jul 01 2026 18:35:48

%S 7,49,385,3073,24577,196609,1572865,12582913,100663297,805306369,

%T 6442450945,51539607553,412316860417,3298534883329,26388279066625,

%U 211106232532993,1688849860263937,13510798882111489,108086391056891905

%N a(n) = 6*8^n+1.

%H Vincenzo Librandi, <a href="/A199554/b199554.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) = 7*A083068(n).

%F a(n) = 8*a(n-1)-7.

%F a(n) = 9*a(n-1)-8*a(n-2).

%F G.f.: 7*(1-2*x)/((1-x)*(1-8*x)).

%t 6*8^Range[0,20]+1 (* _Harvey P. Dale_, Jul 14 2024 *)

%t (* Alternative: *)

%t LinearRecurrence[{9,-8},{7,49},20] (* _Harvey P. Dale_, Jul 14 2024 *)

%t (* Alternative: *)

%t NestList[8#-7&,7,20] (* _Harvey P. Dale_, Jul 14 2024 *)

%o (Magma) [6*8^n+1: n in [0..30]];

%K nonn,easy,changed

%O 0,1

%A _Vincenzo Librandi_, Nov 08 2011