#include <bits/stdc++.h>
using namespace std;
#define DEBUG_MODE
#define endl '\n'
#ifdef DEBUG_MODE
#define DEBUG(...) debug_func_mult(split_names(#__VA_ARGS__), __VA_ARGS__)
#define DEBUG_ENDL endl << flush
#define DEBUG_SEPARATOR_LINE cout<<"=================\n"
#else
#define DEBUG(...) 0
#define DEBUG_ENDL 0
#define DEBUG_SEPARATOR_LINE 0
#endif
#define ALL(V) (V).begin(), (V).end()
#define ALLR(V) (V).rbegin(), (V).rend()
#define DEBUG_ENDL_S(S) ((S).size() ? "\n" : "") << flush;

template <typename T> using V = vector<T>;
template <typename T> using VV = V<V<T>>;
template <typename T, typename U> using P = pair<T, U>;
using ll = int64_t;
using PLL = P<ll, ll>;

template <typename T> const T& var_min(const T &t) { return t; }
template <typename T> const T& var_max(const T &t) { return t; }
template <typename Head, typename... Tail> const Head& var_min(const Head &head, const Tail&... tail) { return min(head, var_min(tail...)); }
template <typename Head, typename... Tail> const Head& var_max(const Head &head, const Tail&... tail) { return max(head, var_max(tail...)); }
template <typename T, typename... Tail> void chmin(T &t, const Tail&... tail) { t = var_min(t, tail...); }
template <typename T, typename... Tail> void chmax(T &t, const Tail&... tail) { t = var_max(t, tail...); }

void debug_func_preffix(const string &s) { if(s.size()) cout << s << " = "; }

template <typename T>
void debug_func(const T &t, const string &s = "") {
    debug_func_preffix(s);
    cout << t << DEBUG_ENDL_S(s);
}

template <typename T, typename U>
void debug_func(const P<T, U> &p, const string &s = "") {
    debug_func_preffix(s);
    cout << "(";
    debug_func(p.first);
    cout << ", ";
    debug_func(p.second);
    cout << ")" << DEBUG_ENDL_S(s);
}

template <typename T>
void debug_func(const V<T> &v, const string &s = "") {
    for(ll i = 0; i < v.size(); i++) {
        string t = s + "[" + to_string(i) + "]";
        debug_func(v[i], t);
    }
}

template <typename T>
void debug_func_mult(int idx, const V<string> &names, const T &t) {
    debug_func(t, names[idx]);
}

template <typename T>
void debug_func_mult(const V<string> &names, const T &t) {
    debug_func(t, names[0]);
}

template <typename Head, typename... Tail>
void debug_func_mult(int idx, const V<string> &names, const Head &head, const Tail&... args) {
    debug_func(head, names[idx]);
    debug_func_mult(idx + 1, names, args...);
}

template <typename Head, typename... Tail>
void debug_func_mult(const V<string> &names, const Head &head, const Tail&... args) {
    debug_func(head, names[0]);
    debug_func_mult(1, names, args...);
}

V<string> split_names(string &&s) {
    replace(ALL(s), ' ', ',');
    V<string> ret;
    istringstream ss(s);
    string t;
    while(getline(ss, t, ',')) if(t.size()) ret.push_back(move(t));
    return move(ret);
}

void init_io() {
    cin.tie(0);
    ios_base::sync_with_stdio(false);
    cout << fixed << setprecision(30);
}

const ll MOD = 998244353;

class Combination {
private:
    template <typename T> using V = vector<ll>;
    ll N;
    ll MOD;
    V<ll> factv, rfactv;

public:
    /*
     * MOD must be a prime number.
     */
    Combination(ll N, ll MOD)
        : N(N), 
          MOD(MOD),
          factv(N + 1, 1),
          rfactv(N + 1)
    {
        for(ll i = 1; i <= N; i++) {
            factv[i] = factv[i - 1] * i % MOD;
        }
        for(ll i = 0; i <= N; i++) {
            rfactv[i] = pow(factv[i], MOD - 2);
        }
    }

    ll fact(ll n) {
        return factv[n];
    }

    ll rfact(ll n) {
        return rfactv[n];
    }

    ll pow(ll a, ll b) {
        return b ? (b & 1 ? a : 1) * pow(a * a % MOD, b / 2) % MOD : 1;
    }

    ll comb(ll n, ll k) {
        return factv[n] * rfactv[n - k] % MOD * rfactv[k] % MOD;
    }
};


int main() {
    init_io();
    ll N, K;
    cin >> K >> N;
    Combination comb(4010, MOD);
    for(ll i = 2; i <= 2 * K; i++) {
        ll warn_lis = 0;
        for(ll j = 1; j <= K; j++) {
            ll rest = i - j;
            if(!(1 <= rest && rest <= K)) continue;
            if(rest <= j) break;
            warn_lis++;
        }
        ll ans = 0;
        for(ll half = 0; half <= (i % 2 == 0); half++) {
            for(ll l = 0; l <= warn_lis; l++) {
                ll mul = comb.comb(warn_lis, l) * comb.pow(2, l) % MOD;
                ll max_kind = K - 2 * warn_lis - (i % 2 == 0) + l;
                if(max_kind <= 0) continue;
                ll distr = N - half - l;
                if(distr < 0) continue;
                ll csum = comb.comb(distr + max_kind - 1, max_kind - 1);
                ll to_add = mul * csum % MOD;
                (ans += to_add) %= MOD;
            }
        }
        cout << ans << endl;
    }
    return 0;
}


Measured memory_bytes: 384