A096732 a(n)=det(M_n) where M_n is the n X n matrix m(i,j)=i^j*j^i.

1, 12, 4284, 84720384, 148993369113600, 34155172566092379340800, 1406681240638328150516203644518400, 13722109275339434419337247034130459935742361600

Offset

1,2

Links

Table of n, a(n) for n=1..8.

Formula

Conjecture: lim_{n->oo} a(n)^(1/n^2)/n = 2*exp(-3/2). - Vaclav Kotesovec, Apr 19 2024

Mathematica

Table[Det[Table[i^j j^i, {i, n}, {j, n}]], {n, 8}] (* Harvey P. Dale, Jun 26 2021 *)

Prog

(PARI) for(n=1, 10, print1(matdet(matrix(n, n, i, j, i^j*j^i)), ", "))

Crossrefs

Cf. A071409, A071410, A169657.

Sequence in context: A099186 A307944 A105067 * A127233 A169657 A287889

Adjacent sequences: A096729 A096730 A096731 * A096733 A096734 A096735

Keyword

easy,nonn

Author

Benoit Cloitre, May 30 2002

Status

approved