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A071410
Determinant of the 2n X 2n matrix m(i,j) = i^j - j^i.
2
1, 1, 196, 65028096, 1540115470208876544, 861787404007697994335390269440000, 3024149801599872168810739614376506649075557335040000, 25610879735369429335666530857036523659955793212506655095941286757767577600000000
OFFSET
0,3
COMMENTS
Determinant of the (2n+1) X (2n+1) matrix m(i,j) = i^j-j^i is zero.
MATHEMATICA
Join[{1}, Table[Det[Table[i^j - j^i, {i, 1, 2*n}, {j, 1, 2*n}]], {n, 1, 8}]] (* Vaclav Kotesovec, Apr 18 2024 *)
PROG
(PARI) for(n=1, 20, print1(matdet(matrix(2*n, 2*n, i, j, i^j-j^i)), ", "))
CROSSREFS
Sequence in context: A351683 A353064 A013755 * A013871 A306856 A043664
KEYWORD
easy,nonn
AUTHOR
Benoit Cloitre, May 28 2002
EXTENSIONS
a(0)=1 prepended by Alois P. Heinz, Jan 25 2023
STATUS
approved