import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)

mod=998244353

N=int(input())

LIST=[[-1]*5000 for i in range(5000)]
def calc(x,y):
    if y>(x+1)//2:
        y=x-y+1
    if y==1 or y==x:
        return 0
    if x==3:
        if y==2:
            return 1
        else:
            return 0

    if LIST[x][y]!=-1:
        return LIST[x][y]

    ANS=0

    # 左から二つ
    ANS+=(y-2)*(y-2)//2*calc(x-2,y-2)
    # 左右一つずつ
    ANS+=(y-2)*(x-y-1)*calc(x-2,y-1)
    # 端二つ
    ANS+=calc(x-2,y-1)
    # 右から二つ
    ANS+=(x-y-1)*(x-y-2)//2*calc(x-2,y)

    LIST[x][y]=ANS%mod

    return LIST[x][y]

for i in range(1,N*2+2):
    print(calc(N*2+1,i))