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suppose i have N non-negative integers x_1, x_2, ,,, x_N

the constraint is that their summation is N

now for all the configurations, i.e., all the realizations of x_1, x_2, ,,, x_N

i want to find out the average value of

\sum_i x_i^2

i guess is on the order of unity, i.e., O(1).

i am concerned with the large N limit

the constraint is that their summation is N

now for all the configurations, i.e., all the realizations of x_1, x_2, ,,, x_N

i want to find out the average value of

\sum_i x_i^2

i guess is on the order of unity, i.e., O(1).

i am concerned with the large N limit

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