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):
    if x > y:
        x, y = y, x
    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))
        ret %= MOD
    if r > 2:
        ret += (r - 1) * (r - 2) // 2 * f(code(l, r - 2))
        ret %= MOD
    if l > 2:
        ret += (l - 1) * (l - 2) // 2 * f(code(l - 2, r))
        ret %= MOD
    if l == 1 and r == 1:
        ret += 1
        ret %= MOD
    dic[lr] = ret
    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)