Expanding exp(x) into a Continued Fraction

1
2
1
2
-1
12
6
1
0
0
12
-6
1
0
0
120
60
12
1
0
120
-60
12
-1
0
1680
840
180
20
1
1680
-840
180
-20
1


Reference: B.P. Demidovich and I.A. Maron, Computational Mathematics, p. 74.

The Maple command is pade.