I had the same case with Bryant 2 days ago. Absolutely the same.
Problem turned out to be - the Ignitor (and it's bracket) were far away from the burner, thus unable to ignite the burners. Bent the bracket to be closer to the burner and voila. Tested the Furnace 10 times - sure enough it lit up 10 times.
Had that several times last year with some Carrier boxes.
Now, send me the cheque in the mail .... just kidding.