%I #15 Sep 08 2022 08:46:00
%S 5,25,145,865,5185,31105,186625,1119745,6718465,40310785,241864705,
%T 1451188225,8707129345,52242776065,313456656385,1880739938305,
%U 11284439629825,67706637778945,406239826673665,2437438960041985,14624633760251905
%N 4*6^n+1.
%H Vincenzo Librandi, <a href="/A199319/b199319.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 (7,-6).
%F a(n) = 5*A083066(n).
%F a(n) = 6*a(n-1)-5.
%F a(n) = 7*a(n-1)-6*a(n-2).
%F G.f.: 5*(1-2*x)/((1-x)*(1-6*x)).
%p A199319:=n->4*6^n + 1; seq(A199319(n), n=0..30); # _Wesley Ivan Hurt_, Feb 25 2014
%t Table[4*6^n + 1, {n, 0, 30}] (* _Wesley Ivan Hurt_, Feb 25 2014 *)
%t LinearRecurrence[{7,-6},{5,25},40] (* _Harvey P. Dale_, Oct 08 2015 *)
%o (Magma) [4*6^n+1: n in [0..30]];
%K nonn,easy
%O 0,1
%A _Vincenzo Librandi_, Nov 06 2011