class Input_kyopro:
    def II(self): return int(input())
    def MI(self): return map(int,input().split())
    def MS(self): return map(str,input().split())
    def LMI(self): return list(self.MI())
    def LMS(self): return list(self.MS())
    def LLI(self,N): return [self.LMI() for _ in range(N)]
    def LLS(self,N): return [self.LMS() for _ in range(N)]
    def LS(self,N): return [input() for _ in range(N)]
    def LSL(self,N): return [list(input()) for _ in range(N)]
    def LI(self,N): return [self.II() for _ in range(N)]
I=Input_kyopro()
#入力
import sys
sys.setrecursionlimit(10**7)
N=int(input())
Mod=998244353
memo=[[-1]*(2*N+1) for _ in range(2*N+1)]
def saiki(l,r):
    if memo[l][r]!=-1:
        return memo[l][r]
    if (l,r)==(0,0):
        return 1
    if l==0 and r!=0:
        return 0
    if l!=0 and r==0:
        return 0
    if l>=2 and r>=2:
        memo[l][r]=saiki(l-1,r-1)*(1+(l-1)*(r-1))+saiki(l-2,r)*(l-2)*(l-1)//2+saiki(l,r-2)*(r-2)*(r-1)//2
        memo[l][r]%=Mod
        return memo[l][r]
    if l>=2:
        memo[l][r]=saiki(l-1,r-1)+saiki(l-2,r)*(l-2)*(l-1)//2
        memo[l][r]%=Mod
        return memo[l][r]
    if r>=2:
        memo[l][r]=saiki(l-1,r-1)+saiki(l,r-2)*(r-2)*(r-1)//2
        memo[l][r]%=Mod
        return memo[l][r]
    memo[l][r]=saiki(l-1,r-1)
    memo[l][r]%=Mod
    return memo[l][r]
for k in range(2*N+1):
    print(saiki(k,2*N-k))