#pragma GCC optimize("Ofast")
#include <bits/stdc++.h>
#include <ext/pb_ds/assoc_container.hpp>
#include <ext/pb_ds/tree_policy.hpp>
using namespace std;
using namespace __gnu_pbds;
using ll = long long;
using ull = unsigned long long;
using pii = pair<int, int>;
using pll = pair<long long, long long>;
#define rep(i, n) for(int i = 0; i < (n); ++i)
#define all(x) (x).begin(),(x).end()
constexpr char ln = '\n';
//constexpr long long MOD = 1000000007;
constexpr long long MOD = 998244353;
template<class T1, class T2> inline bool chmax(T1 &a, T2 b) { if (a < b) { a = b; return true;} return false; }
template<class T1, class T2> inline bool chmin(T1 &a, T2 b) { if (a > b) { a = b; return true;} return false; }
inline int popcount(int x) {return __builtin_popcount(x);}
inline int popcount(long long x) {return __builtin_popcountll(x);}
void print() { cout << "\n"; }
template<class T, class... Args>
void print(const T &x, const Args &... args) {
    cout << x << " ";
    print(args...);
}
///////////////////////////////////////////////////////////////////////////////////////////////////////////////

template <uint_fast64_t Modulus> 
struct ModInt {
    using u64 = uint_fast64_t;

    u64 a;

    constexpr ModInt(const long long x = 0) noexcept : a(x >= 0 ? x % Modulus : (Modulus - (-x) % Modulus) % Modulus) {}
    constexpr u64 &value() noexcept {return a;}
    constexpr const u64 &value() const noexcept {return a;}
    constexpr ModInt operator+(const ModInt rhs) const noexcept {return ModInt(*this) += rhs;}
    constexpr ModInt operator-(const ModInt rhs) const noexcept {return ModInt(*this) -= rhs;}
    constexpr ModInt operator*(const ModInt rhs) const noexcept {return ModInt(*this) *= rhs;}
    constexpr ModInt operator/(const ModInt rhs) const noexcept {return ModInt(*this) /= rhs;}
    constexpr ModInt operator^(const long long rhs) const noexcept {return ModInt(*this) ^= rhs;}
    constexpr bool operator==(const ModInt &rhs) const noexcept {return a == rhs.a;}
    constexpr bool operator!=(const ModInt &rhs) const noexcept {return a != rhs.a;}
    constexpr ModInt &operator+=(const ModInt rhs) noexcept {
        a += rhs.a;
        if (a >= Modulus) {
            a -= Modulus;
        }
        return *this;
    }
    constexpr ModInt &operator-=(const ModInt rhs) noexcept {
        if (a < rhs.a) {
            a += Modulus;
        }
        a -= rhs.a;
        return *this;
    }
    constexpr ModInt &operator*=(const ModInt rhs) noexcept {
        a = a * rhs.a % Modulus;
        return *this;
    }
    constexpr ModInt &operator/=(ModInt rhs) noexcept {
        u64 exp = Modulus - 2;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }
    constexpr ModInt &operator^=(long long exp) noexcept {
        ModInt rhs = a;
        a = 1;
        while (exp) {
            if (exp&1) *this *= rhs;
            exp >>= 1;
            rhs *= rhs;
        }
        return *this;
    }

    friend ostream &operator<<(ostream& os, const ModInt& rhs) noexcept {return os << rhs.a;}
    friend istream &operator>>(istream& is, ModInt& rhs) noexcept {long long a; is >> a; rhs = a; return is;}
};

using mint = ModInt<MOD>;


struct ModCombination {
    vector<mint> Fac;
    vector<mint> Facinv;

    ModCombination(int x) {
        Fac.resize(x+1);
        Facinv.resize(x+1);
        Fac[0] = 1;
        for (int i = 0; i < x; ++i) Fac[i+1] = Fac[i]*(i+1);
        Facinv[x] = Fac[0]/Fac[x];
        for (int i = x; i > 0; --i) Facinv[i-1] = Facinv[i]*i;
    }

    mint get(int n, int k) {
        if (k < 0 || k > n) return 0;
        return Fac[n]*Facinv[k]*Facinv[n-k];
    }
};

int main() {
    ios::sync_with_stdio(false); cin.tie(nullptr);
    int K,N; cin >> K >> N;
    ModCombination MC(N+K);
    vector<mint> beki(N+K+1,1);
    rep(i,N+K) beki[i+1] = beki[i]*2;
    vector<mint> ans(2*K+1);
    for (int i = 2; i <= K+1; i++) {
        if (i&1) {
            int p = i/2;
            for (int j = 0; j <= p; j++) {
                ans[i] += MC.get(N+K-2*p-1,N-j)*MC.get(p,j)*beki[j];
            }
        } else {
            int p = i/2-1;
            for (int j = 0; j <= p; j++) {
                ans[i] += MC.get(N+K-2*p-2,N-j)*MC.get(p,j)*beki[j];
                ans[i] += MC.get(N+K-2*p-3,N-j-1)*MC.get(p,j)*beki[j];
            }
        }
    }

    for (int i = 2*K; i > K+1; i--) ans[i] = ans[2*K+2-i];

    for (int i = 2; i <= 2*K; i++) cout << ans[i] << ln;
}


Measured memory_bytes: 3756