A071410 Determinant of the 2n X 2n matrix m(i,j) = i^j - j^i.

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.

Links

Table of n, a(n) for n=0..7.

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

Adjacent sequences: A071407 A071408 A071409 * A071411 A071412 A071413

Keyword

easy,nonn

Author

Benoit Cloitre, May 28 2002

Extensions

a(0)=1 prepended by Alois P. Heinz, Jan 25 2023

Status

approved