--定义参数
declare @n bigint;set @n=20
declare @i bigint;set @i=1
declare @j bigint;declare @k bigint;

--定义个表存放结果
declare @table table(id bigint)
while (@i<=@n)
    begin
        set @j=0;set @k=0
        while @j<@i
        begin
            set @j=@j+@k;set @k=@k+1
        end
    insert into @table select replicate(@i,@k-1)
    set @i=@i+1
    end
--查看结果
select * from @table
/*
1
22
33
444
555
666
7777
8888
9999
10101010
1111111111
1212121212
1313131313
1414141414
1515151515
161616161616
171717171717
181818181818
191919191919
202020202020
*/

------解决方案--------------------
C# code

public static void Out(int n)
        {
            for (int i = 1; i <= n; i++)
            {
                for (int j = 0; j < i; j++)
                {
                    int num = 1;
                    while (num <= i)
                    {
                        Console.Write((i - 1) * i / 2 + 1 + j);
                        num++;
                    }
                    Console.Write(" ");
                }
                Console.WriteLine();
            }
        }