That could indicate a battery or adapter problem. This forum post should help. Also run diagnostics (tap F12 immediately at boot) and watch for battery or adapter problems. You could also do the same procedure with F2 instead and in the BIOS look for an adapter or battery problem. Considering the age of the system (around 5 years) it is very possibly the battery.
I have an Inspiron 15 5555 service code . It's out of warranty. The light on the front edge has started blinking (amber, off, white, off). I have seen a table of error codes but nothing for 1, 1. Everything else seems okay. What does the blinking light indicate.? 
Blinking power light