A198692 - OEIS

%I #21 Sep 08 2022 08:45:59

%S 10,76,538,3772,26410,184876,1294138,9058972,63412810,443889676,

%T 3107227738,21750594172,152254159210,1065779114476,7460453801338,

%U 52223176609372,365562236265610,2558935653859276,17912549577014938

%N a(n) = 11*7^n-1.

%H Vincenzo Librandi, <a href="/A198692/b198692.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. a(n) = 8*a(n-1)-7*a(n-2), n>1.

%F G.f.: ( 10-4*x ) / ( (7*x-1)*(x-1) ). - _R. J. Mathar_, Oct 30 2011

%t 11 (7^Range[0, 30]) - 1 (* _Wesley Ivan Hurt_, Jan 21 2017 *)

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

%Y Cf. A024075, A048473, A081655, A198480, A198647.

%K nonn,easy

%O 0,1

%A _Vincenzo Librandi_, Oct 29 2011