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

mod=998244353

N=int(input())

LIST=[[-1]*4200 for i in range(4200)]
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]

    LIST[x][y]=((y-2)*(y-3)//2*calc(x-2,y-2)+((y-2)*(x-y-1)+1)*calc(x-2,y-1)+(x-y-1)*(x-y-2)//2*calc(x-2,y))%mod

    return LIST[x][y]

for i in range(3,N*2+1,2):
    for j in range(1,i):
        calc(i,j)

ANS=[]
for i in range(1,N*2+2):
    ANS.append(calc(N*2+1,i))

print("\n".join(map(str,ANS)))