package cap3

func Ex37(n int) []int {
    var coeff func(nums []int, n int)
    coeff = func(nums []int, n int) {
        if n <= 0 {
            return
        }

        // 第一个和最后一个数字肯定是1
        nums[0] = 1
        coeff(nums, n-1)
        nums[n] = 1

        for i := n - 1; i > 0; i-- {
            nums[i] += nums[i-1]
        }
    }

    nums := make([]int, n+1)
    coeff(nums, n)

    return nums
}