Computer display screen with animated icon

[0001]FIG. 1 is a front view showing a first image in a sequence for an animated icon showing a new design;

[0002]FIG. 2 is a second image thereof;

[0003]FIG. 3 is third image thereof;

[0004]FIG. 4 is a fourth image thereof;

[0005]FIG. 5 is a fifth image thereof;

[0006]FIG. 6 is a sixth image thereof;

[0007]FIG. 7 is a seventh image thereof;

[0008]FIG. 8 is an eight image thereof;

[0009]FIG. 9 is a front view showing a first image of a second embodiment thereof;

[0010]FIG. 10 is a second image thereof;

[0011]FIG. 11 is a third image thereof;

[0012]FIG. 12 is a fourth image thereof;

[0013]FIG. 13 is a fifth image thereof;

[0014]FIG. 14 is a sixth image thereof;

[0015]FIG. 15 is a seventh image thereof; and,

[0016]FIG. 16 is a eighth image thereof.

[0017]The appearance of the transitional image sequentially transitions between the images shown in FIGS. 1-8 and FIGS. 9-16, respectively. The process or period in which one image transitions to another image forms no part of the claimed design. The broken lines showing a computer display screen in the first embodiment and an alternate computer display screen in the second embodiment form no part of the claimed design. The dot-dashed line and the broken lines within the icon form no part of the claimed design.