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LM555 and NE555 are similar devices. The advice I gave for LM555 applies here too.
The only thing I noticed was the T_RESET formula that doesn't match the LM555 formula for monostable.
NE555 one shot time is 1.1*R*C
LN(2) is the time from 1/3 to 2/3 charge. For one shot the capacitor goes from 0V to 2/3 VCC (just over one time constant)
