A090914 - OEIS

%I #2 Mar 30 2012 17:30:56

%S 1,1,12,1800,3528000,93350880000,34157460395520000,

%T 176018448722253096960000,12957844528516872887046144000000,

%U 13783997562964632581368087262085120000000

%N Reciprocal of (n+1)! times determinant of n X n matrix whose (i,j)-th element is 1/(i+j).

%t Table[ 1 / Det[ Table[ 1 / (i + j), {i, 1, n}, {j, 1, n} ]]/(n + 1)!, {n, 1, 10}]

%o (PARI) a(n)=if(n<0,0,1/((n+1)!*matdet(matrix(n,n,i,j,1/(i+j)))))

%Y A067689/(n+1)!

%K nonn

%O 0,3

%A _Robert G. Wilson v_, Feb 26 2004