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Let M_n be the n X n matrix with M_n(i,j)=1/(i+j+4); then a(n)=1/det(M_n).
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%I #5 Mar 30 2012 18:38:57

%S 6,2352,30481920,9958443264000,71274072206937600000,

%T 10284003594061010227814400000,28352758990854707972694688215859200000,

%U 1439725057274629036644686315831322105348096000000

%N Let M_n be the n X n matrix with M_n(i,j)=1/(i+j+4); then a(n)=1/det(M_n).

%o (PARI) for(n=1,10,print1(1/matdet(matrix(n,n,i,j,1/(i+j+4))),","))

%K easy,nonn

%O 1,1

%A _Benoit Cloitre_, Apr 21 2002