My guess is something from the cucurbit family. The first set of true leaves will provide more clues. Chances are, they will not be anything like their parents. Let them grow and see what happens!
I would pull a few of them up; the original seed pod should be on the end of the roots. We had some similar mystery plants coming up in an odd place; turned out to be sunflower seeds left by the birds. These do appear to be something from the cucumber family, but it's hard to say. Some racoon may have left you a present containing the seeds of a cantaloupe.
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I get these every year in my garden, it's definitely the seeds of whatever squash product was there last year. Just out of curiosity, I let one grow a couple of years ago, and it must have been some kind of hybrid seed originally. It produced a ton of ugly looking, inedible squash/guard looking thing. Now I introduce them to my little friend, the hoe.
We had one grow wild in my wife's flower garden next to the back step. It turned out to be a huge plant and produced some really nice yellow squash. I have no idea what the original seeds were or how they got there.