Mod=998244353
N=int(input())
dp=[0]*(2*N+1)
dp[0]=1
facts=[]
inv_facts=[]
t=1
for i in range(4100+1):
    facts.append(t)
    t=t*(i+1)%Mod
inv_facts.append(pow(facts[4100],-1,Mod))
for i in range(4100):
    inv_facts.append(inv_facts[-1]*(4100-i)%Mod)
inv_facts.reverse()
def Comb(n,k):
    if(n<k or n<0):
        return 0
    return facts[n]*inv_facts[k]*inv_facts[n-k]%Mod
for i in range(1,N+1):
    M=2*i+1
    new_dp=[0]*(2*N+1)
    for j in range(M//2+1):
        if(j==0):
            continue
        else:
            new_dp[j]=dp[j-1]+dp[j-2]*Comb(j-1,2)+dp[j-1]*(j-1)*(M-j-2)%Mod+dp[j]*Comb(M-j-2,2)
            new_dp[j]%=Mod
            new_dp[M-1-j]=new_dp[j]
    dp=[_ for _ in new_dp]
for i in range(2*N+1):
    print(dp[i])