import sys
sys.setrecursionlimit(10050)

from collections import defaultdict
dic = defaultdict(int)
MOD = 998244353
N = int(input())
N2 = 2 * N + 1
def code(x,y):
    return x * N2 + y

def f(lr):
    if lr in dic:
        return dic[lr]
    l = lr // N2
    r = lr % N2
    ret = 0
    if l > 1 and r > 1:
        ret += ((l-1)*(r-1)+ 1)*f(code(l-1,r-1))
    if r > 2:
        ret += (r-1)*(r-2)//2*f(code(l,r-2))
    if l > 2:
        ret += (l-1)*(l-2)//2*f(code(l-2,r))
    if l == 1 and r == 1:
        ret += 1
    dic[lr] = ret % MOD
    return ret % MOD

ans = [0] * (2 * N + 1)
for i in range(N + 1):
    a = f(code(i,2 * N - i))
    ans[i] = ans[2*N-i] = a
for a in ans:
    print(a)