I was thinking of the material in the “Comment” section, which lists various examples of where the sequence arises, often (as here) of the form “a(n) = total number of objects of such-and-such a kind satisfying such-and-such conditions”. It’s true that one of the recurrence relations listed there also arises very straightforwardly from GSE’s definition of the sequence, but that’s not the same thing.
I was thinking of the material in the “Comment” section, which lists various examples of where the sequence arises, often (as here) of the form “a(n) = total number of objects of such-and-such a kind satisfying such-and-such conditions”. It’s true that one of the recurrence relations listed there also arises very straightforwardly from GSE’s definition of the sequence, but that’s not the same thing.