login
A092416
Determinant of the n X n matrix with entries gcd(X,Y)^gcd(X,Y).
0
1, 1, 3, 78, 19656, 61405344, 2863085569344, 2357871215948696448, 39557911075122642360238080, 15325544184478930809864207383592960, 153255393906487099048546500580688904121221120
OFFSET
0,3
EXAMPLE
for n = 3:
[1,1,1]
[1,4,1]
[1,1,27]
with det 78.
PROG
(PARI) for(i=0, 10, m=matrix(i, i, X, Y, gcd(X, Y)^gcd(X, Y)); print1(", "matdet(m)))
CROSSREFS
Cf. A000178:super-factorials, A001088:product(A000010(i)).
Sequence in context: A271182 A306817 A306818 * A069839 A222192 A236069
KEYWORD
nonn
AUTHOR
Jon Perry, Mar 22 2004
STATUS
approved