Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 61st year, we have over 378,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”).
%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