A190913 - OEIS

%I #22 Aug 23 2018 02:13:57

%S 5,0,2,9,2,10,29,14,50,99,82,220,365,416,926,1429,1954,3842,5825,8778,

%T 15922,24299,38414,66240,102533,165560,276954,434745,707394,1163074,

%U 1846069,3008302,4900546,7839115,12762378,20694684,33271421,54081272,87516358,141133157,229065490,370410810,598383689,970090922,1568482962

%N Sequence A190914 evaluated at the negative index -n.

%H Vincenzo Librandi, <a href="/A190913/b190913.txt">Table of n, a(n) for n = 0..1000</a>

%H <a href="/index/Rec#order_05">Index entries for linear recurrences with constant coefficients</a>, signature (0,1,3,0,-1)

%F From _R. J. Mathar_, Jun 05 2011: (Start)

%F a(n) = A190914(-n).

%F G.f.: ( 5-3*x^2-6*x^3 ) / ( (x^2+x-1)*(x^3-x^2-x-1) ). (End)

%F a(n) = A000032(n) + A073145(n). - _R. J. Mathar_, Jun 05 2011

%t LinearRecurrence[{0,1,3,0,-1},{5,0,2,9,2},50] (* _Vincenzo Librandi_, Feb 15 2012 *)

%o (PARI) Vec((5-3*x^2-6*x^3)/((x^2+x-1)*(x^3-x^2-x-1))+O(x^99)) \\ _Charles R Greathouse IV_, Jun 08 2011

%Y Cf. A190914, A000045, A000073, A001608, A000040, A005117, A125666.

%K nonn,easy

%O 0,1

%A _Reikku Kulon_, May 23 2011