#define MD 998244353
Mint d[2001][4004];
d[0][1]=1;
ll@n;
rep(y,1,n+1){
	rep(x,1,2y){
		d[y][x+1]=d[y-1][x+1]*((2y-x-1)*(2y-x-2)/2)+d[y-1][x]*((2y-x-1)*(x-1)+1)+d[y-1][x-1]*((x-1)*(x-2)/2);
	}
}
rep(x,2n+1){
	wtLn(d[n][x+1]);
}