Bought a Dell Inspiron E1505 Laptop

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If a new DELL ac adapter (3rd party Adapters are not recognized and the charging circuit is disabled) and a new battery doesn't resolve then the charging circuit on the motherboard is bad

It won't charge or work correctly if it's not the correct one and of the right voltage etc.I don't know how the battery even went in if it's not the Dell specified battery.If it went in and looked to fit maybe the battery itself is bad but its hard to say.

Accoding to our DCSE site the blink code 4 Green 1 Amber is a memory problem

usually, its an indication that the battery is nearing the end of its useful life. you can try to use another battery to isolate it further. If the same thing happens with another battery, chances are, the mobo is failing. Flashing the BIOS can usually help with battery issues. If another battery works fine and your computer is within its first year since you bought it, you can request a replacement battery from Dell

Check your users manual. Normally if it is blinking it is powering up, but may be different depending on model.

While the notebook is TURNED OFF completely, try rubbing some isopropyl alcohol on the leads within the laptop that touch the battery with a cotton swab, could be that the leads are dirty.

Sound like the battery. Take the battery out and there should be a power meter on it, press it, if there are three lights that flash, the battery is shot. Not all batteries will flash if they are worn out, but they are supposed to. Try a new battery, I believe this will coorect the issue.

my suggestion is that you allow the batteries to fully recharge(which only happens when the computer is fully off, when the battery is deep discharged.

that will take around 6 to 10 hours each..

If the sequence is 4 red, green, 4 red, green and so on- that's a code that indicates your battery is failing and is only providing less than 25% of its normal charge capacity.

That would mean your battery is basically dying and will probably keep headed downhill in a hurry. You should probably go ahead and start looking at getting a replacement.