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a(n) = (n+1/3)^n * (3*n)!/n!.
2

%I #12 Apr 15 2023 06:27:44

%S 1,8,1960,2240000,7037430400,47023181004800,573855569801113600,

%T 11561744236447268864000,357878145625000000000000000,

%U 16126894605060719806880153600000,1014615361149039162308699493990400000,86191463407361600308443922239271731200000

%N a(n) = (n+1/3)^n * (3*n)!/n!.

%H Winston de Greef, <a href="/A362292/b362292.txt">Table of n, a(n) for n = 0..141</a>

%o (PARI) a(n) = (n+1/3)^n*(3*n)!/n!;

%Y Cf. A000169, A034940.

%K nonn,easy

%O 0,2

%A _Seiichi Manyama_, Apr 14 2023