In that table, Balance 5.png, Vf is presented as 3.5 volts. THAT is a number I would expect. 3 volts Vf will be with the LED delivering less light than the specified level. 3.5 volts is a number closer to what I would expect.
The 1/2W resistor will still glow red-hot and maybe will catch on fire because the arithmetic is wrong:
1) 9 LEDs of 3.5V=31.5V.
2) Voltage across each resistor= 48V - 31.5V= 16.5V.
3) 135mA in each string.
4) Resistance of each resistor=16.5V/135mA= 122.2 ohms.
5) Dissipation in each resistor= 16.5V x 135mA= 2.2W.
Ya I think strings of 6x3.8=22.8
Set buck boost to 24V
24-22.8=1.2
1.2/.135=8 ohms
1.2x8=.162 Watts
72 LEDs/6-12 strings in series placed parallel to each other on the voltage rail
Your unknown Taiwan LEDs have 3 forward voltage bins: 1A, 1B and 1C. Which one do you have?
The datasheet does not say the maximum allowed power (voltage x current) at various ambient temperatures for you to calculate a suitable heatsink. Their specs are when the solder pads are at 25 degrees C due to having a "perfect" heatsink.