3d animated plot of a function

c (x,y,t) = (486/t) * exp - (((x-0.415 t)^2 / (2.152*t)) + ((y-0.005 t)^2 / (0.0012*t)))

where x range from 0 to 17, y from 0 to 0.6 and t from 1 to 41.

z ( x, y,t) = c (x,y,1) + c (x, y,2) + .................. + c (x,y,t)

Need animated plot of Z over x and y varying with time.

[KSSV]

A similiar question? https://in.mathworks.com/matlabcentral/answers/1637900-how-plot-time-varying-animated-3d-surface-of-z-which-depends-on-x-and-y-as-well-as-time-t-such-as?s_tid=prof_contriblnk