#include <bits/stdc++.h>
using namespace std;
using ll = long long;
#define rep(i, a, b) for (int i = (a); i < (b); i++)
#ifdef tabr
#include "library/debug.cpp"
#else
#define debug(...) 0
#endif

template <ll mod>
struct modular {
    ll value;
    modular(ll x = 0) {
        value = x % mod;
        if (value < 0) value += mod;
    }

    modular& operator+=(modular other) {
        if ((value += other.value) >= mod) value -= mod;
        return *this;
    }
    modular& operator-=(modular other) {
        if ((value -= other.value) < 0) value += mod;
        return *this;
    }
    modular& operator*=(modular other) {
        value = value * other.value % mod;
        return *this;
    }
    modular& operator/=(modular other) {
        ll a = 0, b = 1, c = other.value, m = mod;
        while (c != 0) {
            ll t = m / c;
            m -= t * c;
            swap(c, m);
            a -= t * b;
            swap(a, b);
        }
        a %= mod;
        if (a < 0) a += mod;
        value = value * a % mod;
        return *this;
    }
    modular& operator^=(modular other) {
        ll r = 1, x = value, n = other.value;
        while (n > 0) {
            if (n & 1) r = r * x % mod;
            x = x * x % mod;
            n >>= 1;
        }
        value = r;
        return *this;
    }
    modular operator+(modular rhs) {
        return modular(*this) += rhs;
    }
    modular operator-(modular rhs) {
        return modular(*this) -= rhs;
    }
    modular operator*(modular rhs) {
        return modular(*this) *= rhs;
    }
    modular operator/(modular rhs) {
        return modular(*this) /= rhs;
    }
    modular operator^(modular rhs) {
        return modular(*this) ^= rhs;
    }
    bool operator==(modular rhs) {
        return value == rhs.value;
    };
    bool operator!=(modular rhs) {
        return value != rhs.value;
    };
    bool operator<(modular rhs) {
        return value < rhs.value;
    }
};
template <ll mod>
string to_string(modular<mod> x) {
    return to_string(x.value);
}
template <ll mod>
ostream& operator<<(ostream& stream, modular<mod> x) {
    x.value %= mod;
    if (x.value < 0) x.value += mod;
    return stream << x.value;
}
template <ll mod>
istream& operator>>(istream& stream, modular<mod>& x) {
    stream >> x.value;
    x.value %= mod;
    if (x.value < 0) x.value += mod;
    return stream;
}
const ll mod = 998244353;
using mint = modular<mod>;

vector<mint> fac, finv;
inline void cinit(int n) {
    fac.resize(n, 1);
    finv = fac;
    for (int i = 2; i < n; i++) {
        fac[i] = fac[i - 1] * i;
        finv[i] = finv[i - 1] / i;
    }
}
inline mint C(int n, int k) {
    if (n < k || k < 0 || n < 0) return 0;
    return fac[n] * finv[k] * finv[n - k];
}
inline mint H(int n, int k) {
    return C(n + k - 1, k);
}

int main() {
    ios::sync_with_stdio(false);
    cin.tie(0);
    int k, n;
    cin >> k >> n;
    cinit(5050);
    vector<mint> pw(5050, 1);
    rep(i, 1, 5050) pw[i] = pw[i - 1] * 2;
    rep(t, 2, 2 * k + 1) {
        mint res = 0;
        int p = min(k - t + t / 2 + 1, t / 2 + 1 - 1);
        debug(t, p);
        if (t % 2) {
            rep(q, 0, p + 1) {
                res += pw[q] * C(p, q) * H(k - 2 * p + q, n - q);
            }
        } else {
            rep(q, 0, p) {
                res += pw[q] * C(p - 1, q) * (H(k - 2 * p + 1 + q, n - q) + H(k - 2 * p + q + 1, n - q - 1));
            }
        }
        cout << res << endl;
    }

    return 0;
}


Measured memory_bytes: 384