A061065 For n <= 6, entry of maximal modulus in the inverse of the n-th Hilbert matrix. For n >= 3, this is the (n-1,n-1)-th entry.

1, 12, 192, 6480, 179200, 4410000, 100590336, 2175421248, 45229916160, 912328045200, 17965673440000, 346945899203904, 6592659294154752, 123580568462478400, 2289795064260480000, 42003815644116000000

Offset

1,2

Comments

Incorrect version of the largest element in the inverse of Hilbert's matrix. See A210356 for the correct version. See A210357 for the location of the maximal value. - T. D. Noe and Clark Kimberling, Mar 28 2012

Links

Harry J. Smith, Table of n, a(n) for n = 1..100

Formula

For n >= 3, a(n) = ((2n-2)^2)*(2n-3)*C(2n-4, n-2)^2. - David Wasserman, Jun 08 2002

Prog

(PARI) { for (n=1, 100, if (n>2, a=((2*n-2)^2)*(2*n-3)*binomial(2*n-4, n-2)^2, if (n==1, a=1, a=12)); write("b061065.txt", n, " ", a) ) } \\ Harry J. Smith, Jul 17 2009

Crossrefs

Cf. A005249, A000515, A210356, A210357.

Sequence in context: A359453 A272959 A095351 * A210356 A328261 A264603

Adjacent sequences: A061062 A061063 A061064 * A061066 A061067 A061068

Keyword

nonn,easy

Author

Roger Cuculière, May 28 2001

Extensions

More terms from David Wasserman, Jun 08 2002

Status

approved