%I #14 Mar 24 2023 07:38:53
%S 3,105,3567,121173,4116315,139833537,4750223943,161367780525,
%T 5481754313907,186218278892313,6325939728024735,214895732473948677,
%U 7300128964386230283,247989489056657880945,8424342498961981721847,286179655475650720661853,9721683943673162520781155,330251074429411874985897417
%N a(0)=3, a(1)=105, a(2)=3567; a(n) = 35*(a(n-1)-a(n-2))+a(n-3).
%D P.-F. Teilhet, Query 2376, L'Intermédiaire des Mathématiciens, 11 (1904), 138-139.
%H <a href="/index/Rec#order_02">Index entries for linear recurrences with constant coefficients</a>, signature (34,-1)
%F From _Chai Wah Wu_, Mar 08 2022: (Start)
%F a(n) = 34*a(n-1) - a(n-2) for n > 1.
%F G.f.: 3*(x + 1)/(x^2 - 34*x + 1). (End)
%t LinearRecurrence[{34,-1},{3,105},20] (* _Harvey P. Dale_, Mar 24 2023 *)
%Y Cf. A001541, A001542, A350984, A002315, A001653, A350985.
%Y Equals 3*A046176(n+1).
%K nonn
%O 0,1
%A _N. J. A. Sloane_, Mar 08 2022