/* ---------- STL Libraries ---------- */

// IO library
#include <cstdio>
#include <fstream>
#include <iomanip>
#include <ios>
#include <iostream>

// algorithm library
#include <algorithm>
#include <cmath>
#include <numeric>
#include <random>

// container library
#include <array>
#include <bitset>
#include <deque>
#include <map>
#include <queue>
#include <set>
#include <string>
#include <tuple>
#include <vector>

/* ---------- Namespace ---------- */

using namespace std;

/* ---------- Type Abbreviation ---------- */

template <typename T>
using V = vector<T>;
template <typename T, typename U>
using P = pair<T, U>;
template <typename T>
using PQ = priority_queue<T>;
template <typename T>
using GPQ = priority_queue<T, vector<T>, greater<T>>;

using ll = long long;

#define fst first
#define snd second
#define mp make_pair
#define mt make_tuple

/* ---------- conversion ---------- */

#define INT(c) static_cast<int>(c)
#define CHAR(n) static_cast<char>(n)
#define LL(n) static_cast<ll>(n)
#define DOUBLE(n) static_cast<double>(n)

/* ---------- container ---------- */

#define ALL(v) (v).begin(), (v).end()
#define SIZE(v) (LL((v).size()))

#define FIND(v, k) (v).find(k) != (v).end()
#define VFIND(v, k) find(ALL(v), k) != (v).end()

#define gsort(b, e) sort(b, e, greater<decltype(*b)>())
#define SORT(v) sort((v).begin(), (v).end())
#define GSORT(v) sort((v).begin(), (v).end(), greater<decltype((v).front())>())

/* ---------- repetition ---------- */

#define FOR(i, a, b) for (ll i = (a); i < (b); ++i)
#define RFOR(i, a, b) for (ll i = (b)-1; i >= (a); --i)

/* ----------- debug ---------- */

template <class T>
ostream& operator<<(ostream& os, vector<T> v) {
    os << "[";
    for (auto vv : v)
        os << vv << ",";
    return os << "]";
}

template <class T>
ostream& operator<<(ostream& os, set<T> v) {
    os << "[";
    for (auto vv : v)
        os << vv << ",";
    return os << "]";
}

template <class L, class R>
ostream& operator<<(ostream& os, pair<L, R> p) {
    return os << "(" << p.fst << "," << p.snd << ")";
}

/* ---------- Constants ---------- */

const ll MOD = 998244353;
// const int INF = 1 << 25;
// const ll INF = 1LL << 50;
// const double PI = acos(-1);
// const double EPS = 1e-10;
// const ll dx[4] = {0, -1, 1, 0};
// const ll dy[4] = {-1, 0, 0, 1};
// mt19937 mt(LL(time(0)));

/* ---------- Short Functions ---------- */

template <typename T>
T sq(T a) {
    return a * a;
}

template <typename T>
T gcd(T a, T b) {
    if (a > b) return gcd(b, a);
    return a == 0 ? b : gcd(b % a, a);
}

template <typename T, typename U>
T mypow(T b, U n) {
    if (n == 0) return 1;
    if (n == 1) return b % MOD;
    if (n % 2 == 0) {
        return mypow(sq(b) % MOD, n / 2);
    } else {
        return mypow(b, n - 1) * b % MOD;
    }
}

ll pcnt(ll b) {
    return __builtin_popcountll(b);
}

/* v-v-v-v-v-v-v-v-v Main Part v-v-v-v-v-v-v-v-v */

// #define DEBUG

const ll MAX_V = 10000;

ll fact[MAX_V + 1], invfact[MAX_V + 1];

void precalc() {
    invfact[0] = fact[0] = 1;
    for (ll i = 1; i <= MAX_V; ++i) {
        fact[i] = fact[i - 1] * i % MOD;
    }

    invfact[MAX_V] = mypow(fact[MAX_V], MOD - 2);
    for (ll i = MAX_V - 1; i >= 0; --i) {
        invfact[i] = invfact[i + 1] * (i + 1) % MOD;
    }
    return;
}

ll comb(ll a, ll b) {
    if (a < b) return 0;
    if (a == 0) return 1;  // a = b = 0

    return fact[a] * invfact[a - b] % MOD * invfact[b] % MOD;
}

ll calc(ll N, ll s, ll d) {
    // cout << N << ":" << s << ":" << d << endl;
    ll ret = 0;
    FOR(q, 0, min(d + 1, N + 1)) {
        ret += (mypow(2LL, q) * comb(d, q) % MOD) * comb(s + N - 1, N - q) % MOD;
        ret %= MOD;
    }

    if (ret < 0) {
        cout << N << ":" << s << ":" << d << endl;
        terminate();
    }
    return ret;
}

void solve() {
    ll K, N;
    cin >> K >> N;

    FOR(i, 2, K * 2 + 1) {
        // cout << "i = " << i << endl;
        ll d = (i <= K + 1 ? (i - 1) / 2 : (2 * K - i + 1) / 2);
        if (i % 2 > 0) {
            cout << calc(N, K - d * 2, d) << endl;
        } else {
            cout << (calc(N, K - d * 2 - 1, d) + calc(N - 1, K - d * 2 - 1, d)) % MOD << endl;
        }
    }
    return;
}


/* ---------- Do not edit below part ---------- */


int main() {
    cin.tie(0);
    ios::sync_with_stdio(false);
    // cout << fixed << setprecision(10);

    precalc();

#ifdef DEBUG
    freopen("input.txt", "r", stdin);
    int num;
    cin >> num;
    FOR(_, 0, num) {
        cout << "++++++++++++++++++++" << endl;
        solve();
    }
#else
    solve();
#endif

    return 0;
}


Measured memory_bytes: 512