A092416 Determinant of the n X n matrix with entries gcd(X,Y)^gcd(X,Y).

1, 1, 3, 78, 19656, 61405344, 2863085569344, 2357871215948696448, 39557911075122642360238080, 15325544184478930809864207383592960, 153255393906487099048546500580688904121221120

Offset: 0

Author

Jon Perry, Mar 22 2004

Keywords

• nonn

Examples

			for n = 3:
[1,1,1]
[1,4,1]
[1,1,27]
with det 78.
		

Crossrefs

Cf. A000178:super-factorials, A001088:product(A000010(i)).

Programs

PARI

for(i=0,10,m=matrix(i,i,X,Y,gcd(X,Y)^gcd(X,Y));print1(","matdet(m)))