def cmb(n, r, p): if (r < 0) or (n < r): return 0 r = min(r, n - r) return fact[n] * factinv[r] * factinv[n-r] % p p=998244353 N = 4000 # N は必要分だけ用意する fact = [1, 1] # fact[n] = (n! mod p) factinv = [1, 1] # factinv[n] = ((n!)^(-1) mod p) inv = [0, 1] # factinv 計算用S for i in range(2, N + 1): fact.append((fact[-1] * i) % p) inv.append((-inv[p % i] * (p // i)) % p) factinv.append((factinv[-1] * inv[-1]) % p) N=int(input()) dp=[[0 for _ in range(2*i+1)] for i in range(N+1)] #後ろから遡る。dp[残った個数(2*i+1)][何番目の数字] dp[0][0]=1 p=998244353 for i in range(N): for j in range(2*i+1): count=2*i+1 dp[i+1][j+2]+=dp[i][j]*(cmb(j,2,p)+j) dp[i+1][j+2]%=p dp[i+1][j+1]+=dp[i][j]*(1+j*(count-j-1)) dp[i+1][j+1]%=p dp[i+1][j]+=dp[i][j]*(cmb(count-j-1,2,p)+count-j-1) dp[i+1][j]%=p for d in dp[-1]: print(d)