Do you have a link you can provide for that battery - not sure what it is.
For something like an eGo, when it needs a recharge the button will blink a good half dozen times - and stay out after that. A battery that keeps blinking like that - 15 to 20 times - and won't fire usually means the protection has tripped and it's dead.
What
device are you using on it? Does it do the same thing with a button press when the device is removed?
Connecting back up to the charger will give you a further idea of what is going on. If the charger is indicating the battery is fully charged, and it's still doing the 15 blinks and won't fire - protection has tripped. It's gone.