I remember (watching the show in reruns as a kid) the robot as the B-9 Environmental Control Robot. On his packaging (a box or a metal cabinet, I think) you can see the name G.U.N.T.E.R., which is an acronym for General Utility Non-Theorizing Environmental Robot.
It should be your mantra whenever you apply products to the lawn. This doesn't have to be a lengthy ban. The Dog Owner's Guide suggests keeping pets off treated grass for 24 hours, as nitrogen can burn the pads of a dog's foot. The guide also recommends keeping pets indoors during application to prevent an airborne inhalation or skin contact.
If the sod struggled to become established and was slow to root, wait to fertilize the sod until about four weeks after new growth appeared or the sod rooted securely. If the sod was installed in winter or when it was dormant, do not fertilize the sod until after green-up in spring.