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

0,3

Links

Table of n, a(n) for n=0..9.

Mathematica

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

Prog

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

Crossrefs

A067689/(n+1)!

Sequence in context: A145186 A160304 A013479 * A049406 A049405 A229752

Adjacent sequences: A090911 A090912 A090913 * A090915 A090916 A090917

Keyword

nonn

Author

Robert G. Wilson v, Feb 26 2004

Status

approved