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%I #13 Jan 15 2023 09:51:31
%S 1,4,144,20736,8294400,7464960000,13168189440000,41295442083840000,
%T 214075571762626560000,1734012131277275136000000,
%U 20981546788455029145600000000,365582471242040427832934400000000,8896815020146295851742291558400000000,294698100727325903793111665580441600000000
%N a(n) = (n!*(n+1)!)^2.
%F a(n) = det(PS(i+2,j), 1 <= i,j <= n), where PS(n,k) are Legendre-Stirling numbers of the second kind (A071951) [_Mircea Merca_, Apr 04 2013]
%F a(n) = A010790(n)^2. - _Michel Marcus_, Jan 15 2023
%t Table[(n!(n + 1)!)^2, {n, 1, 10}]
%o (PARI) a(n) = (n!*(n+1)!)^2; \\ _Michel Marcus_, Jan 15 2023
%Y Cf. A010790, A071951.
%K nonn
%O 0,2
%A Rebecca Gladu (rgladu(AT)eve.assumption.edu), Apr 07 2002
%E Edited and extended by _Robert G. Wilson v_, Apr 08 2002
%E More terms from _Michel Marcus_, Jan 15 2023