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%I #10 Jul 15 2014 07:08:20
%S 1,3,495,4686825,2254848913647,52588547141148893628,
%T 58152371703925106867047535565,
%U 3012179439602547459232394950891834843500,7255167425905233148164780983569428433097979870294255,808718755397067598640202627155266231883064669446721506930287016061
%N a(n) = C(3*n^2, n^2).
%C a(n) = A005809(n^2).
%H Jens Kruse Andersen, <a href="/A245245/b245245.txt">Table of n, a(n) for n = 0..34</a>
%F Logarithmic derivative of A213409 (ignoring initial term a(0) of this sequence).
%F a(n) ~ 3^(3*n^2+1/2) / (sqrt(Pi) * n * 2^(2*n^2+1)). - _Vaclav Kotesovec_, Jul 15 2014
%t Table[Binomial[3*n^2, n^2],{n,0,20}] (* _Vaclav Kotesovec_, Jul 15 2014 *)
%o (PARI) {a(n)=binomial(3*n^2, n^2)}
%o for(n=0,15,print1(a(n),", "))
%Y Cf. A245243, A201555, A005809, A213409 (exp).
%K nonn
%O 0,2
%A _Paul D. Hanna_, Jul 15 2014
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