bool DBG = false;
// #pragma GCC optimize("Ofast")
// #pragma GCC target("sse,sse2,sse3,ssse3,sse4,popcnt,abm,mmx,avx,avx2,tune=native")
// #pragma GCC optimize("unroll-loops")
#include<bits/stdc++.h>
//#include <boost/multiprecision/cpp_dec_float.hpp>
//#include <boost/multiprecision/cpp_int.hpp>
using namespace std;
using ll = long long;
using ld = long double;
//using i128 = __int128_t;
//using bint = boost::multiprecision::cpp_int
//using d1024 = boost::multiprecision::number<mp::cpp_dec_float<1024>>;
#define FOR(i,a,b) for(int i=(a);i<(b);++i)
#define IFOR(i,a,b) for(int i=((b)-1);i>=(a);--i)
#define RPT(i,a,b) for(int i=(a);i<((a)+(b));++i)
#define IRPT(i,a,b) for(int i=((a)+(b)-1);i>=(a);--i)
#define ALL(x) x.begin(),x.end()
#define RALL(x) x.rbegin(),x.rend()
#define fs first
#define sd second
#define couts(x) cout << (x) << (" ")
#define coutn(x) cout << (x) << ("\n")
#define ncouts(x) numout(x),outst[outst_N++] = ' '
#define ncoutn(x) numout(x),outst[outst_N++] = '\n'
#define scouts(x) strout(x),outst[outst_N++] = ' '
#define scoutn(x) strout(x),outst[outst_N++] = '\n'
#define dcouts(x) if(DBG) couts(x)
#define dcoutn(x) if(DBG) coutn(x)
#define endl "\n"
#define psb push_back
#define ppb pop_back
#define eb emplace_back
#define lb lower_bound
#define ub upper_bound
#define LBIT(x,a) (((x)>>(a))&1LL)
#define IBIT(x,a) (((x)>>(a))&1)
#define BCOUNT(x) (__builtin_popcount(x))
template<typename T> std::istream &operator>>(std::istream &is, std::vector<T> &vec){ for (auto &v : vec) is >> v; return is; }
template<typename T1, typename T2> std::istream &operator>>(std::istream &is, std::pair<T1,T2> &p){is >> p.first >> p.second; return is; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::vector<T> &vec){ os << "["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::deque<T> &vec){ os << "deque["; for (auto v : vec) os << v << ","; os << "]"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::unordered_set<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T> std::ostream &operator<<(std::ostream &os, const std::unordered_multiset<T> &vec){ os << "{"; for (auto v : vec) os << v << ","; os << "}"; return os; }
template<typename T1, typename T2> std::ostream &operator<<(std::ostream &os, const std::pair<T1, T2> &pa){ os << "(" << pa.first << "," << pa.second << ")"; return os; }
template<typename TK, typename TV> std::ostream &operator<<(std::ostream &os, const std::map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
template<typename TK, typename TV> std::ostream &operator<<(std::ostream &os, const std::unordered_map<TK, TV> &mp){ os << "{"; for (auto v : mp) os << v.first << "=>" << v.second << ","; os << "}"; return os; }
/*
std::ostream &operator<<(std::ostream &os, const i128 nu){
  i128 co = nu;
  if(co==0){cout << '0';}
  else{
    string ous; if(co<0){cout<<'-'; co*=-1;}
    while(co){
      ous += (co%10)+'0';
      co /= 10;
    }
    reverse(ALL(ous));
    cout<<ous;
  }
  return os;
}
std::istream &operator>>(std::istream &is, i128 &nu){ string cs; cin >> cs; nu=0;int mn=1; for(auto &x:cs) { if(x!='-'){nu*=10;nu+=(x-'0');} else mn *= -1;} nu *= mn;  return is; }

*/


template<class T> using V = vector<T>;
template<class T> using V2 = V<V<T>>;
template<class T> using V3 = V<V2<T>>;
template<class T> using V4 = V<V3<T>>;


char outst[20'000'000]; int outst_N = 0;
char outst_tmp[200];
template<class NUM >
void numout(NUM n){
  if(n<0) { n*=-1; outst[outst_N++] = '-';}
  if(n==0){ outst[outst_N++] = '0'; return;}
  int cnt = 0;
  while(n>0){
    outst_tmp[cnt++] = '0' + (n % 10);
    n /= 10;
  }
  IFOR(i,0,cnt){
    outst[outst_N++] = outst_tmp[i];
  }
}
void strout(std::string s){
  for(auto x: s){
    outst[outst_N++] = x;
  }
}

constexpr ll LINF = 1LL << 60;
constexpr int IINF = 1 << 28;
//constexpr ll mod =  1'000'000'007;
constexpr ll mod = 998244353;






ll modpow(ll a, ll n, ll m) {
	ll res = 1;
	while (n) {
		if (n & 1)res = res * a % m;
		a = a * a%m; n >>= 1;
	}
	return res;
}
 
 
V<ll> f, invf;
 
void init(int n){
  f = V<ll>(n+100); invf = V<ll>(n+100);
  f[0] = 1; invf[0] = 1; invf[1] = 1;
  FOR(i,0,n-1) f[i+1] = f[i]*(i+1)%mod;
  FOR(i,2,n) invf[i] = modpow(f[i],mod-2,mod);
}
 
ll comb(ll a, ll b){
  if( a<0 || b<0 || (a-b)<0 ) return 0;
  ll ret = f[a];
  (ret *= invf[b])%=mod;
  (ret *= invf[a-b])%=mod;
  return ret;
}

void solve(){
  init(12345);
  int k, n; cin >> k >> n;
  FOR(t,2,2*k+1){
    
    ll R = min<ll>(k,t-1), L = max<ll>(1,t-k)-1;
    //couts(t); coutn(":"); 
    //couts(R); coutn(L);
    ll ans = 0;
    FOR(p1,0,(R-L)/2+1){
      int p2 = (R-L)/2 -p1;
      
      
      FOR(w,0,((t%2)^1) + 1){
        int k3 = k - 2*p1 - 2*p2 - ((t%2)^1);
        ll tmp = comb(p1+p2,p1) * modpow(2,p1,mod) % mod;
        (tmp *= comb(p1+k3+n-p1-w-1, n-p1-w) ) %= mod;
        (ans += tmp) %= mod;
        //couts(p1); couts(p2); couts(k3);couts(w); coutn(ans);
      }
      
    }
    ncoutn( ans );
  }
  
}




int main(void){
  //std::cout << std::fixed << std::setprecision(20);
  cin.tie(0);
  //ios::sync_with_stdio(false);
  solve();
  printf("%s", outst);
  return 0;
}




Measured memory_bytes: 512