#include <bits/stdc++.h>
#include <atcoder/all>
#define SELECTER(_1,_2,_3,SELECT,...) SELECT
#define rep1(i,n) for(int i=0;i<(int)n;++i)
#define rep2(i,a,n) for(int i=(int)a;i<(int)n;++i)
#define rep(...) SELECTER(__VA_ARGS__,rep2,rep1)(__VA_ARGS__)
#define RSELECTER(_1, _2, _3, RSELECT, ...) RSELECT
using namespace std;
using namespace atcoder;
using ll = long long;
using mint=modint998244353;
ostream& operator<<(ostream& out, const mint& a){return out << a.val();}
constexpr ll MOD = 998244353;

int main(){
	ios::sync_with_stdio(false);
	std::cin.tie(nullptr);
	int n;cin>>n;
	vector dp(n + 1, vector<ll>(2 * n + 1, 0));
	dp[0][0] = 1;
	rep(i, n + 1) rep(j, 2 * n + 1){
		if(i && j){
			dp[i][j] += dp[i - 1][j - 1];
			dp[i][j] += dp[i - 1][j - 1] * (i - 1) * (j - 1);
			dp[i][j] %= MOD;
		}
		if(i > 1) dp[i][j] += dp[i - 2][j] * (i - 1) * (i - 2) / 2;
		if(j > 1) dp[i][j] += dp[i][j - 2] * (j - 1) * (j - 2) / 2;
		dp[i][j] %= MOD;
	}
	rep(i, 2 * n + 1) cout<<dp[min(i, 2 * n - i)][max(i, 2 * n - i)]<<endl;
}