As shown in the figure, in the Yanghui triangle, there are n (n ∈ n *) rows of numbers from top to bottom, and the sum of non-1 numbers in these numbers is______ ．

As shown in the figure, in the Yanghui triangle, there are n (n ∈ n *) rows of numbers from top to bottom, and the sum of non-1 numbers in these numbers is______ ．

The observation shows that there are n numbers in the nth (n ∈ n *) row, which are binomial coefficients cn-10, cn-11, cn-12, cn-1n-1 from left to right. Therefore, when n ≥ 3, except 1, the sum of the numbers in the nth row is an = cn-11 + cn-12 + +Cn-1n-2 = 2n-1-2. The first two lines are all numbers 1, so the sum of the first n lines is not 1

Yang Hui triangle and binomial coefficient
Given that the sum of the coefficients in the expansion of [(5x-3) to the power of n] is 1023 more than that in the expansion of [(a-b-1 / b) to the power of 2n], what is the value of N?
Which elder brother instructs, explained the process white

In the expansion of (5x-3) ^ n, the sum of the coefficients is (5 * 1-3) ^ n = 2 ^ n (a-b-1 / b), and the sum of the coefficients is (1-1-1 / 1) ^ 2n = (- 1) ^ 2n = [(- 1) ^ 2] ^ n = 1 ^ n = 1. Thus, 2 ^ n-1 = 1023 = 1024-1 = 2 ^ 10-1. Therefore, the algorithm of the sum of n = 10 coefficients, the sum of polynomial coefficients and (x + 1) 1 + 1 (x + 1)

It is proved that Yang Hui triangle is a coefficient of multiple power
In fact, there is another kind of triangle which is not mentioned. This kind of triangle is the coefficient of m power of [x-n]

You can prove it by mathematical induction