import sys
input = sys.stdin.readline
sys.setrecursionlimit(10**7)

mod=998244353

FACT=[1]
for i in range(1,2*10**5+1):
    FACT.append(FACT[-1]*i%mod)

FACT_INV=[pow(FACT[-1],mod-2,mod)]
for i in range(2*10**5,0,-1):
    FACT_INV.append(FACT_INV[-1]*i%mod)

FACT_INV.reverse()

def Combi(a,b):
    if 0<=b<=a:
        return FACT[a]*FACT_INV[b]%mod*FACT_INV[a-b]%mod
    else:
        return 0

N=int(input())

LIST=[[-1]*5000 for i in range(5000)]
def calc(x,y):
    if y>(x+1)//2:
        y=x-y+1
    if y==1 or y==x:
        return 0
    if x==3:
        if y==2:
            return 1
        else:
            return 0

    if LIST[x][y]!=-1:
        return LIST[x][y]

    ANS=0

    # 左から二つ
    ANS+=Combi(y-1-1,2)*calc(x-2,y-2)
    # 左右一つずつ
    ANS+=Combi(y-1-1,1)*Combi(x-y-1,1)*calc(x-2,y-1)
    # 端二つ
    ANS+=calc(x-2,y-1)
    # 右から二つ
    ANS+=Combi(x-y-1,2)*calc(x-2,y)

    LIST[x][y]=ANS%mod

    return LIST[x][y]

for i in range(1,N*2+2):
    print(calc(N*2+1,i))