A090914 Reciprocal of (n+1)! times determinant of n X n matrix whose (i,j)-th element is 1/(i+j).

1, 1, 12, 1800, 3528000, 93350880000, 34157460395520000, 176018448722253096960000, 12957844528516872887046144000000, 13783997562964632581368087262085120000000

Offset: 0

Author

Robert G. Wilson v, Feb 26 2004

Keywords

• nonn

Crossrefs

A067689/(n+1)!

Programs

Mathematica

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

PARI

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