Very many years ago (I think around the late 1950s) I read a very short story (about 4 pages) about computers at a time when they were in their infancy. The story started in the past but then went forward explaining how computers would become more and more centralized. Firstly in towns/cities, then counties, then countries, then continents, then one large computer for the world. When this became too small a larger one was created on the moon and later a bigger one in space which everyone could access. Subsequently the sun cooled, life on earth died and the computer gravitated to the nearest shining sun. When this sun cooled it made its way to the next sun, etc., etc. Finally the computer ended up at the last shining star in the universe which was also dying. But there were other similar computers orbiting the sun. As this died the computers did the only thing left. Together they "said" "let there be light" and there was light. So, who wrote it? (It was not The Last Question by Asimov) Was it called Let There Be Light? How can I get a copy?
This has got to be The Last Question, slightly misremembered. In this story, a series of people ask the computer of their era the question of what happens in the end. Until the end, the computers keep saying that it simply doesn't have enough information.
Mankind is seen advancing through the years, first on Earth in a society like our own, then moving out through space until the universe is mastered. At the end there is a single disembodied megaconsciousness and the equally unphysical computer, who still doesn't have enough information. The universe is dying at this point. They merge, and after an uncountable time the computer restarts the universe in the fashion you mention.
If it's not that story, then it's a direct rip-off of it.