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a(n) = binomial(n!, n^2).
1

%I #13 Jan 19 2025 09:28:43

%S 1,0,0,735471,41749257038001257014137504,

%T 8072776113194557737391130747136885454937928869204466648295480,

%U 34145180671088019813488798475366394184193477615213303683031012996650190080826664983024305988320017979711374101114480000

%N a(n) = binomial(n!, n^2).

%H G. C. Greubel, <a href="/A107447/b107447.txt">Table of n, a(n) for n = 1..11</a>

%t a[n_]:= Binomial[n!, n^2]; Array[a, 10]

%o (Magma) [Binomial(Factorial(n), n^2): n in [1..9]]; // _G. C. Greubel_, Mar 24 2024

%o (SageMath) [binomial(factorial(n), n^2) for n in range(1,10)] # _G. C. Greubel_, Mar 24 2024

%Y Cf. A014062 C(n^2, n), A086687 C(n!, n).

%K nonn,easy

%O 1,4

%A _Zak Seidov_, May 26 2005