%I #12 Oct 22 2024 12:57:59
%S 1,-6,27,-90,189,0,-1782,6318,0,-90882,360126,0,-5985819,24931800,0,
%T -446371074,1912892355,0,-35840971530,156454458930,0,-3022929941616,
%U 13367712796110,0,-264079216747476,1179032268616902,0,-23685874363658232,106533987128598645,0
%N G.f. satisfies A(x) = (1 - 9*x*A(x))^(2/3).
%H <a href="/index/Res#revert">Index entries for reversions of series</a>
%F G.f.: (1/x) * Series_Reversion( x/(1-9*x)^(2/3) ).
%F a(n) = 9^n * binomial(n/3 - 5/3,n)/(n+1).
%o (PARI) a(n) = 9^n*binomial(n/3-5/3, n)/(n+1);
%Y Cf. A377268.
%K sign,easy
%O 0,2
%A _Seiichi Manyama_, Oct 22 2024