The transition from zero to one is of course world-changing. But at one child, 100% of the connections in the sociogram connect to a given parent: zero economy of scale.
At two children they have each other, but that is only 1/3 of the children's connections when one parent is present.
At three, we're up to 50% of the connections that are child-to-child. At this point the sociogram is rich enough to become interesting.
Four => 60%. Eight => 77.8%.