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%I #10 Dec 08 2023 11:19:03
%S 1,3,20,126,924,6435,48620,352716,2704156,20058300,155117520,
%T 1166803110,9075135300,68923264410,538257874440,4116715363800,
%U 32247603683100,247959266474052,1946939425648112,15033633249770520,118264581564861424
%N A trisection of A001405 (central binomial coefficients): binomial(3*n,floor(3*n/2)), n>=0.
%C For the trisection of sequences see a comment and a reference under A187357.
%F a(n) = binomial(3*n,floor(3*n/2)), n>=0.
%F O.g.f.: G0(x^2) + 3*x*G2(x^2) with G0(x) and G2(x) the o.g.f.s of A187363 and A187365, respectively.
%t Table[Binomial[3n,Floor[(3n)/2]],{n,0,20}] (* _Harvey P. Dale_, Dec 23 2012 *)
%Y A187443 binomial(3*n+1,floor((3*n+1)/2)),
%Y A187444 binomial(3*n+2,floor((3*n+2)/2))/2.
%K nonn,easy
%O 0,2
%A _Wolfdieter Lang_, Mar 10 2011
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