A199492 - OEIS

%I #12 Oct 11 2023 12:19:44

%S 12,78,540,3774,26412,184878,1294140,9058974,63412812,443889678,

%T 3107227740,21750594174,152254159212,1065779114478,7460453801340,

%U 52223176609374,365562236265612,2558935653859278,17912549577014940

%N 11*7^n+1.

%H Vincenzo Librandi, <a href="/A199492/b199492.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 (8,-7).

%F a(n) = 7*a(n-1)-6.

%F a(n) = 8*a(n-1)-7*a(n-2).

%F G.f.: 6*(2-3*x)/((1-x)*(1-7*x)).

%t 11*7^Range[0,20]+1 (* or *) LinearRecurrence[{8,-7},{12,78},20] (* _Harvey P. Dale_, Oct 11 2023 *)

%o (Magma) [11*7^n+1: n in [0..30]];

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Nov 07 2011