You COULD use hickory instead of osage, but it is not the better choice.
Hickory is stiffer than osage, but less elastic.
IF you go to hickory instead of osage, I would say you'd need to go slightly thinner on the lamination .... maybe by 5-10% ... so say .140" thick.
But I would also go wider, so if your osage bow is 1.5" wide, I'd go at least 1.75"+ for hickory.
Tell us more about the bow you're making ... why use hickory instead of osage?
If you're out of osage, but you have bamboo, hickory, and jatoba only ... I would make bamboo back, hickory core (I know it sounds crazy), and Jatoba belly.
Hickory is much lighter than Jatoba, and Jatoba is much better at handling compression on the belly.
In general the core lam should be as light weight as possible ... it doesn't comtribute much at all to the draw weight, and it just adds mass to the limb if you use something very dense.
I'm a believer that for a tri-lam bow, ipe (or even jatoba) is really hard to beat especially with a light weight core lam like maple or cherry or walnut. I think hickory would be fine for the core if you don't have those available.
Alot of people say jatoba is prone to fretting, but I have not found this to be the case ... ever ... and I've made a number of them ... the most extreme is only 58"ntn static recurve 55# @ 26", with a 20" long riser and fades ... so less than 20" working limb only 1.25" wide at midlimb ... it has no frets ...
tell us more about this bow and your materials available.