If x=1 then 1/x also equals 1. This is useful because then evaluating the binomial at x=1 will give the sum of the coefficients. Doing this we get 2^n = 4096, which makes n=12.
Then the central coefficient is 12C6 = 12!/(6!*6!) = 924. The power of x is given by 6*1+6*(-1/3) = 4. Then the central term is 924*x^4.
Using a program like Larry's is way too much overkill when the formula for specific entries in Pascal's triangle exists.
Edited on May 5, 2024, 1:02 pm
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