Display panel of a programmed computer system with an animated graphical user interface

FIG. 1 is a front view of the first image in a sequence of a display panel of a programmed computer system with an animated graphical user interface, showing the new design;

FIG. 2 is a second image thereof;

FIG. 3 is a third image thereof; and,

FIG. 4 is a fourth image thereof.

The outermost broken line rectangle illustrates a display screen and forms no part of the claimed design. The diagonal lines on the left-hand side of the display form no part of the claimed design. The stippling represents contrasting surface ornamentation and does form part of the claimed design. The remaining broken lines illustrate portions of a graphical user interface that form no part of the claimed design.

The appearance of the transitional image sequentially transitions between the images shown in FIGS. 1 - 4 . The process or period in which one image transitions to another image forms no part of the claimed design.