|
%I #20 Mar 03 2024 09:22:15
%S 0,0,0,1,1,2,6,8,14,43,57,100,308,408,716,2205,2921,5126,15786,20912,
%T 36698,113015,149713,262728,809096,1071824,1880920,5792473,7673393,
%U 13465866,41469422,54935288,96404710,296887523,393292233,690179756,2125474556,2815654312
%N Even Padovan numbers divided by 2.
%H G. C. Greubel, <a href="/A135619/b135619.txt">Table of n, a(n) for n = 1..1000</a>
%H <a href="/index/Rec#order_09">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 7, 0, 0, 1, 0, 0, 1).
%F a(n) = A134720(n)/2.
%F Empirical g.f.: -x^4*(x^4-x^3+2*x^2+x+1) / (x^9+x^6+7*x^3-1). - _Colin Barker_, Sep 18 2013
%t #/2&/@Select[Join[{0,0,0},LinearRecurrence[{0,1,1},{1,1,1}, 100]], EvenQ] (* _Harvey P. Dale_, May 11 2011 *)
%t LinearRecurrence[{0, 0, 7, 0, 0, 1, 0, 0, 1},{0, 0, 0, 1, 1, 2, 6, 8, 14}, 40] (* _Ray Chandler_, Mar 03 2024 *)
%Y Cf. A000931, A134720.
%K nonn
%O 1,6
%A _Omar E. Pol_, Feb 17 2008
%E More terms from _Harvey P. Dale_, May 11 2011
|
