#include <cstdio>
#include <cstdlib>
#include <cmath>
#include <cstring>

#include <iostream>
#include <complex>
#include <string>
#include <algorithm>
#include <numeric>
#include <vector>
#include <queue>
#include <stack>
#include <map>
#include <set>
#include <unordered_map>
#include <unordered_set>

#include <functional>
#include <cassert>

typedef long long ll;
using namespace std;

#ifndef LOCAL
#define debug(x) ;
#else
#define debug(x) cerr << __LINE__ << " : " << #x << " = " << (x) << endl;

template <typename T1, typename T2>
ostream &operator<<(ostream &out, const pair<T1, T2> &p) {
  out << "{" << p.first << ", " << p.second << "}";
  return out;
}

template <typename T>
ostream &operator<<(ostream &out, const vector<T> &v) {
  out << '{';
  for (const T &item : v) out << item << ", ";
  out << "\b\b}";
  return out;
}
#endif

#define mod 998244353 //1e9+7(prime number)
#define INF 1000000000 //1e9
#define LLINF 2000000000000000000LL //2e18
#define SIZE 200010

vector<ll> factmemo, factmemoInv;
ll factmemoMod = -1;

ll factorial(int n, int M){
  if(factmemoMod == M) return factmemo[n];
  if(n <= 1) return 1;

  ll res = 1;
  for(int i=1; i<=n; i++) res = res * i % M;
  return res;
}

ll power(int k, int n, int M){
  if(n == 0) return 1;
  if(n == 1) return (ll)k;

  ll res = power(k, n/2, M);

  res = res * res % M;
  return n%2 == 1 ? res * k % M : res;
}

void initFactorial(int n, int M){
  factmemo.assign(n+1, 0);
  factmemoInv.assign(n+1, 0);
  factmemoMod = M;
  factmemo[0] = 1;
  for(int i=1;i<=n;i++) factmemo[i] = factmemo[i-1] * i % M;
  factmemoInv[n] = power(factmemo[n], M-2, M);
  for(int i=n;i>0;i--) factmemoInv[i-1] = factmemoInv[i] * i % M;
}

//nCm nPm nHm (mod M)

/*Combination*/
ll C(int n, int m, int M){
  if(n < m) return 0;
  if(m == 0 || n == m) return 1;

  if(factmemoMod == M)
    return factmemo[n] * factmemoInv[m] % M * factmemoInv[n-m] % M;

  ll numer = factorial(n, M);
  ll denom = factorial(m, M) * factorial(n-m, M) % M;

  denom = power((int)denom, M-2, M);

  return numer * denom % M;
}
/*Permutation*/
ll P(int n, int m, int M){
  if(n < m) return 0;
  if(m == 0) return 1;

  if(factmemoMod == M)
    return factmemo[n] * factmemoInv[n-m] % M;

  ll numer = factorial(n, M);
  ll denom = factorial(n-m, M);

  denom = power((int)denom, M-2, M);

  return numer * denom % M;
}
/*Combination with Repetitions*/
ll H(int n, int m, int M){
  if(n == 0 && m == 0) return 1;
  return C(n+m-1, m, M);
}



int main(){
  int K, N;

  cin >> K >> N;

  initFactorial(K*2+N*2, mod);

  for(int i=2;i<=2*K;i++){
    int c1 = 0, c2 = 0;
    for(int j=1;j*2<=i;j++){
      if(1 <= i - j && i - j <= K) {
        if(i == j*2) c2++;
        else c1++;
      }
    }


    int k = K - c1 - c2;
    int r = N + k - c1;
    //debug(k); debug(c1); debug(c2);

    ll ans = 0;

    ll p = 1;

    for(int i=0;i<=min(r, c1);i++){
      int s = K - c1 * 2 - c2 + i - 1;
      if(s < 0) continue;

      ans += C(N-i+s, s, mod) * power(2, i, mod) % mod * C(c1, i, mod) % mod;

      if (c2 && N+s-1 > 0) {
        ans += C(N-i+s-1, s, mod) * power(2, i, mod) % mod * C(c1, i, mod) % mod;
      }
    }

    cout << ans % mod << endl;
  }


  return 0;
}


Measured memory_bytes: 512