A096732 - OEIS

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

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OFFSET

1,2

LINKS

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

KEYWORD

easy,nonn

AUTHOR

STATUS

approved