Ken gave you already the large-picture answer from a full life-cycle point of view. It may furthermore be useful to restrict the view to the question: how would a country report this action within its national inventory? In other words, this reduces the problem to one of actual measurement and reporting. The ensuing answer would also gives you some hints. The practical way to report this ''sequestration'' within an inventory (say, in its ''cropland'' lulucf component), would be as ''stock change,'' implying you would have to measure the increase in soil carbon over time after your biochar application. If instead the biochar was directly used in energy, any real ''sequestration'' would show as fuel substitution and eventually in changes in fossil fuel emissions. As Ken says, of course the various connections across other sectors would also have to be reported, so the the overall effect would be the sum of all the pluses and minuses across the economy. Bottom line, using the equation you proposed is perhaps a useful starting point to have in mind what the boundary conditions may be, but it is simply not enough to estimate ''sequestration''.
The issued to manufacture biochar is required energy not a problem anymore because when we produce biochar at the same time we can also produced energy. I have proved it using pyrolysis - gasificatio stove and semi-continuous biochar that could produce biochar and energy at the same time. What I did with those biochar and energy production were I feedback the volatile matter produced by pyrolysis proses as fuel to keep pyrolysis process and produced thermal energy surplus. What did I need to run these system just triggered once using burning chamber until the biomass produced pyrolysis process to produce autothermal. This method also environmentally friendly with minimum smoke (nearly smokeless) because this smoke (volatile matter) was burn to produced thermal energy. My research right now is producing biochar and energy (electical) continuous.
You can find my journal about my Gasification – Pyrolysis Stove that I attach. But I am sorry information you can get just in abstract and picture inside because others was written in Indonesian. I will translate it English. My semi-continuous biochar and energy production still in press for publication in the same journal.
So if biochar could become as carbon sequestration, this method to produce bochar and energy could become a method to produce energy with negative GHG emission for the future.
How much reduction could we get if we can produce biochar and energy from biomass using this method? My question: could we using simple GHG reduction (kg/ton) = 3.67 x % of fixed carbon content x amount of biochar applied (kg / ton)? I agree that LCA needed for more detail result.