I just booked a ticket with LH via Expedia and on my confirmation there is a Ticket Number as well as the Passenger Record Locator Info.

Let me give you some advice here. Having booked a lot of tickets online and if I see a problem I call the airline right away so I won't be surprised at check in. If you knowingly see that your card was not charged why don't you call LH Web support and sort it out now? I would hate for you to show up at the desk and pay the fully refundable fare which is way more than you booked it for.

In many cases your ticket becomes invalid if there is no payment info on the website. Their credit card processing system could be down or there is some tech issues with it. Computers make mistakes.

Please do the honest thing and tell LH your predicament. Its not fare that you would be getting a free ticket and others had to pay the amount you did. Clearly you have the funds to pay for the non refundable ticket.

Remember good Karma? If you do something good to help LH they may help you in a time of need like if your flight is delayed or cancelled or you need a special request fulfilled.

Good Luck (Guten Gluck) to you.