This is a topic that is of interest in the real world. Amputees have different nutritional needs compared to what they had pre-amputation.
TL;DR after the whole healing process amputees generally need only to adjust for weight, but not for the actual weoght they have.
I found an article in the American Journal of Clinic Nutrition with a proposal for the means to estimate the proper body weight to use for diet adjustments for amputees. You can read it fully and for free at this link.
It already starts with:
Body weight is a good indicator of a person's size and is widely used in clinical assessment. However, health-status assessment based on observed body weight (WO) is incorrect for persons with limb amputation.
It is also heavy on the math side, no pun intended. An excerpt:
(...) Thereafter, estimation of the remaining proportion of the limb may be made by calculating the proportion of the length of the stump to the knee height or buttock-knee length as follows:
ΔpWT=ΔWT−ΔWT×LStp/LKn=ΔWT(1−LStp/LKn)
(11)
ΔpWF=ΔWF−ΔWF×LStp/LBtK=ΔWF(1−LStp/LBtK)
(12)
where LStp = length of the stump, LKn = knee height, and LBtK = buttock-knee length.
Therefore, new corrected formulas for estimating the lost proportions of total body weight in the case of persons with amputations below or above the knee may be written as follows:
Amputation below the knee
(transtibial),ΔW=ΔWS+ΔWT(1−LStp/LKn)
(13)
or
ΔW/WE=ΔWS/WE+ΔWT/WE×(1−LStp/LKn)
(14)
Amputation above the knee
(transfemoral),ΔW=ΔWS+ΔWT+ΔWF(1−LStp/LBtK)
If you are writing fiction, I suggest you drop the math and just simplify it by just saying that people eat less.