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Eventually it will be great if the table would have all the units. According to the latest documents I have (TM 11850 manual supplement of 8 April 1954) the following units were produced:
BC312, A, C, D, E, F, G, J, L, M, N, HX, NX
BC342, A, D, E, F, J, L, M, N
BC314, C, D, E, F, G
BC344, D
The BC342 was modified for use in OA65/MRC2 and OA65A/MRC2 and ended its life as an R336.
I have found copies of the some of the original qualification testing on the prototype BC312 in April 1936. That probably means the design started at least a year before that. According to Sibley's "Tube Lore," the tubes used were registered by RCA in June of 1935.
BC312 
236 
14598NY37 
GE 

BC312D 
1189 
1263NY41 
RCA 

BC312F 
156 
2903NY42 
Farnsworth (Ebay) 

BC312M 
10707 
31916PHILA43 
CRV (RCA for Navy) 

BC312M 
13013 
33060PHILA43 
CRV (RCA for Navy) 






BC342D 
1413 
1263NY41 
RCA 

BC342N 
2075 
4611PHILA42 
Farnsworth 

BC342N 
178 
14364PHILA43 
Farnsworth 

BC342N 
2037 
16133PHILA43 
Farnsworth (rebuilt as OA65A by B&W) 

BC342N 
2517 
4222PHILA44 
CFN (Farnsworth for Navy) 

BC342N 
2837 
10651PHILA44 
Farnsworth (Ebay) 

These first two are curtesy of http://oak.cats.ohiou.edu/~postr/bapix/ (used with permission)
This next image is from Larry, a usenet reader:
Last modified: August 15, 2006.