Well, I'm by no means an expert on giving this answer, and yet I'll take a go at providing something reasonable. Assuming a 1ha biodiverse, properly hydrated, young stage forest with optimal leaf coverage that gives us a solar catchment area of 10,000 square metres. Subtract say 20% to account for immature trees amongst the larger growth, another 20% for damaged trees and other incidental issues like leaf blight or whatever else might go wrong and you're at 6,000 square metres of catchment. A single mid-stage growth tree can capture and sequester 48kg of carbon per year. Assuming a mid-stage tree head diameter of 2m that means that you have 3000 trees sequestering 144,000kg of carbon per hectare per annum. Using techniques like coppicing and pollarding in the forest increases the efficiency of aboveground tree growth which means a more rapid turnaround to go from a bare patch to a tree catching sunlight. As such we can probably up that 48kg per year figure to in the realm of say 60kg/yr pushing us up to 180,000kg per annum unless I've totally gone wrong with my maths somewhere.
That 180,000kg is largely bound up in the form of cellulose and lignin. When you have good, seasoned wood ready for use in a furnace/fireplace it ends up representing about half of the weight of the wood as much of that is still bound up as water/sap and other compounds.
So, a single hectare can supply about 9m3/hectare according to this answer here on this site. That's enough firewood to supply about 3 families with 3m3 each of wood for home heating and cooking needs, or 9 families 1m3 provided they are using fuel efficient heating like Rocket Mass Heaters or Kachelofens for heating and rocket stoves for cooking. Assuming we are talking moderately efficient kinds of woods dehydrated to 12% moisture content, that averages out to be in the ballpark of 600kg/cu.m which works out to be 5,400kg. Assuming a carbon content of 49.5% for the wood, that works out to be 2673kg of carbon re-released per year. This means in net, a single sustainably harvested 1ha forest will affix 67 times the amount of carbon that is released from the burning of the wood that comes from it.
Does that help?