The values you used are way out of whack! Please don't take that as an attack, some folks are awesome at HVAC while others are financial wizards. We have that special arena where we love to play. In electronics, there are a couple of "Ohm's Laws" that allow simple math to calculate various things. For example, you want to limit the current flow to 20 milliamps. More than 3 volts/LED is not as important as driving more than 20 ma with LEDs. So, Ohm's Law states that "Current = Volts / Resistance". With 12.0 Volts and 1 Ohm of resistance (regardless of how many LEDs you string in series): 12 Volts / 1 Ohm = 12 AMPS! Put another way, that's 12,000 milliamps (remember, your LEDs are rated for only 20 ma)!
If we take 14.7 Volts and want to target 0.020 amps (20 milliamps), we can work the formula backwards. 14.7 Volts / 0.020 Amps = 735 Ohms. I hope this helps.