I'm afraid I won't have time to give you more help. There's a short summary of each sequence under the link at the top of the page, so it won't take you forever to see the relevance.
EDIT: you're wondering elsewhere in the thread why you're not being well received. It's because your post doesn't make contact with what other people have thought on the topic.
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= f037147d6e6c911a85753b9abdedda8d)
"Every set of numbers has a least element" clearly does NOT define the natural numbers. Consider N U {-1}.