Detailed data sheets can be found at:
http://www.ti.com/lit/ds/symlink/lm317.pdf
https://www.onsemi.com/pub/Collateral/LM317-D.PDF
R1 = 110 Ohms (connect between pins 1 & 2, Adjust & Output)
R2 = 27 Ohms (connect between pin 1 and GND)
This should yield about 1.56V output. Depending component tolerances, this may differ as much as 0.3V either up or down.
If you want the output lower, make R2 a lower value.
An on-line calculator can be found at:
http://www.muzique.com/schem/lm317.htm
Notes:
- The LM317 needs at least 10mA of load current, that is why the resistor values were chosen lower than the datasheet 'typical' values.
- For minimum output voltage of 1.25V, R2 may be zero Ohms, that is pin1 Adjust connected to GND, which means the lower end of R1 is also connected to GND..
Hope this helps.
Cheers,
Tom
p.s. John, if you are comfortable calculating a resistor voltage divider, here is another way of looking at it.
The LM317 tries to keep the Output pin 1.25V higher than the Adjust pin. This means the divider output, when fed with the desired output voltage, must be 1.25V lower than what you want the output to be.
In your case you want about 1.55V output so the divider must supply 1.55-1.25= 0.3V to the Adjust pin. That defines the
ratio of the resistor values. The
total resistance of the two resistors in series must also be low enough for the minimum LM317 load current to flow. The minimum load current is 10milliamperes, the output voltage is 1.55V, therefore the maximum load resistance is 155 Ohms.
The resistors were chosen as the nearest standard values with the correct ratio and allowed at least the minimum current. The actual current thru the chosen resistors is 1.55/137 = 11.3mA.