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Let (a_1,a_2,...,a_10) be a list...

Let (a_1,a_2,...,a_10) be a list of the first 10 positive integers such that for 2 =< i =< 10 either (a_i)+1 or (a_i)-1 or both appear somewhere before a_i in the list. How many such lists are there? For example 3,2,1,4,5,6,7,8,9,10 works.

I need an explanation on how to do this step by step. thanks.

I need an explanation on how to do this step by step. thanks.

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