C :

#include<stdio.h>
int a[100][100];
int main(){
    int n,i,j;
    scanf("%d",&n);
    for(j=1;j<=n;j++){
        for(i=1;i<=n;i++){
            if(i+j==n+1){
                a[i][j] = j;
            }else if(i+j>n+1){
                a[i][j] = a[i-1][j] + a[i][j-1];
            }
        }
    }   
    for(i=1;i<=n;i++){
        for(j=1;j<=n;j++){
            if(a[i][j]==0){
                printf("%5s","");
            }else{
                printf("%5d",a[i][j]);
            }
        }
        printf("\n");
    }

    return 0;
}

C++ :

#include <bits/stdc++.h>
using namespace std;

int main(){
	int a[100][100] = {0};
	int i,j,n;
	cin>>n;
	
	for (i = 0;i < n;i++){
		for (j = 0;j < n;j++){
			if (i + j + 1 == n){
				a[i][j] = n - i;
			}
		}
	}
	
	for (i = 1;i < n;i++){
		for (j = 0;j < i;j++){
			a[i][j + n - i] = a[i][j + n - i - 1] + a[i - 1][j + n - i];
		}
	}
	
	for (i = 0;i < n;i++){
		for (j = 0;j < n;j++){
			if (a[i][j] == 0){
				cout<<setw(5)<<" ";
			}else{
				cout<<setw(5)<<a[i][j];
			}
		}
		cout<<endl;
	}
}

Pascal :

var
    a:array[1..100,1..100] of longint;
    n,i,j:longint;
begin
    readln(n);
    for i:=1 to n do a[i,i]:=i;
    for i:=n-1 downto 1 do
        for j:=i+1 to n do
            a[i,j]:=a[i+1,j]+a[i,j-1];
    for i:=n downto 1 do
    begin
        for j:=1 to n do
            if a[i,j]>0 then write(a[i,j]:5) else write('':5);
        writeln
    end;
end.

Java :

import java.util.Scanner;
public class Main
{
	public static void main(String args[]){
		Scanner sc=new Scanner(System.in);
		int n=sc.nextInt();
		int[][] a=new int[n][n];
		for(int i=0;i<n;i++){
			for(int j=0;j<n;j++){
				if(i==j){
					a[i][j]=i+1;
				}
			}
		}
		for(int c=0;c<n;c++){
			for(int i=0;i<n;i++){
				for(int j=0;j<n;j++){
					if(i<j){
						a[i][j]=a[i][j-1]+a[i+1][j];
					}
				}
			}
		}
		for(int i=n-1;i>=0;i--){
			for(int j=0;j<n;j++){
				if(a[i][j]!=0){
					System.out.print(String.format("%5d",a[i][j]));
				}else{
					System.out.print(String.format("%5c",' '));
				}
			}
			System.out.println();
		}
		
	}
}

Python :

n = int(input())
a = [[0 for j in range(n)] for i in range(n)]
# 先赋值右对角线,i+j=n-1
for i in range(n):
    a[i][n - i - 1] = n - i
# 赋值有对角线下面部分,以"列"为大方向从1~n-1,正方向;以"行"为小方向从n-j~n-1,正方向
for j in range(1, n):
    for i in range(n - j, n):
        a[i][j] = a[i][j - 1] + a[i - 1][j]
# 打印输出
for i in range(n):
    for j in range(n):
        if a[i][j] == 0:
            print('%5s' % '', end='')
        else:
            print('%5d' % a[i][j], end='')
    print()