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%I #8 Jul 27 2022 08:45:27
%S 1,8,280,22400,3203200,717516800,231757926400,101973487616000,
%T 58634755379200000,42686101916057600000,38374805622535782400000,
%U 41751788517318931251200000,54068566129928015970304000000
%N a(n)=(3*n+1)!/(n!*3^n).
%F In Maple notation, hypergeometric generating function sum(a(n)*x^n/(n!)^2, n=0..infinity) = hypergeom([2/3, 4/3], [1], 9*x)
%F D-finite with recurrence a(n) -(3*n-1)*(3*n+1)*a(n-1)=0. - _R. J. Mathar_, Jul 27 2022
%p A079929 := proc(n)
%p (3*n+1)!/(n!*3^n) ;
%p end proc:
%p seq(A079929(n),n=0..30) ; # _R. J. Mathar_, Jul 27 2022
%t Table[(3n+1)!/(n! 3^n),{n,0,30}] (* _Harvey P. Dale_, Jan 29 2021 *)
%K nonn
%O 0,2
%A _Karol A. Penson_, Jan 16 2003
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