#define MD 998244353
unsigned d[4004];
ll@n;
d[2n]=1;
rep(y,1,n+1){
	rep(x,2y+1){
		d[x+2(n-y)]=((ull)d[x+2(n-y)+2]*(ull)((2y-x-1)*(2y-x-2)>>1)+(ull)d[x+2(n-y)+1]*(ull)((2y-x-1)*(x-1)+1)+(ull)d[x+2(n-y)]*(ull)((x-1)*(x-2)>>1))%MD;
	}
}
rep(x,2n+1){
	wtLn(d[x]);
}