%I #33 Feb 19 2024 01:52:00
%S 1,17,258,3874,58115,871731,13075972,196139588,2942093829,44131407445,
%T 661971111686,9929566675302,148943500129543,2234152501943159,
%U 33512287529147400,502684312937211016,7540264694058165257
%N a(1)=1, a(n) = 15*a(n-1) + n.
%H Vincenzo Librandi, <a href="/A014898/b014898.txt">Table of n, a(n) for n = 1..200</a>
%H <a href="/index/Rec#order_03">Index entries for linear recurrences with constant coefficients</a>, signature (17,-31,15).
%F a(n) = 17*a(n-1) - 31*a(n-2) + 15*a(n-3); a(1)=1, a(2)=17, a(3)=258. - _Vincenzo Librandi_, Oct 20 2012
%t LinearRecurrence[{17, -31, 15}, {1, 17, 258}, 20] (* _Vincenzo Librandi_, Oct 20 2012 *)
%o (Magma) I:=[1, 17, 258]; [n le 3 select I[n] else 17*Self(n-1) - 31*Self(n-2) + 15*Self(n-3): n in [1..20]]; // _Vincenzo Librandi_, Oct 20 2012
%K nonn,easy
%O 1,2
%A _N. J. A. Sloane_, _Olivier GĂ©rard_