Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())
arr = [False]*(N+1)

for i in range(1, N+1):
    num = 0
    sqi = int(float(i)**0.5)
    sec = arr.copy()
    for j in range(1,sqi+1):
        sqj = int(float(i-j**2)**0.5)
        if not(sec[j]):
            #print(sec[j])
            #print("num"+str(j))
            for k in range(1, sqj+1):
                c = float(i-j**2-k**2-j*k)
                if c > 0:
                    c *= -1.0
                    b = float(j) + float(k)
                    d = b**2-4*c
                    if d >=0.0:
                        z = (-b + d**0.5)/2.0
                        if z.is_integer():
                            #print(j,k,z)
                            z = int(z)
                            sec[j]=True
                            sec[k]=True
                            sec[z]=True
                            if j==k and k == z:
                                num += 1
                            elif j == k or k == z or j ==z:
                                num += 3
                            else:
                                num +=6
                            #print(sec)
                            break
                else:
                    break

    print(num)

Fixed submission:
N = int(input())
ans = [0]*(10**4+10)

for i in range(1,10**2+10):
    for j in range(1, 10**2+10):
        for k in range(1, 10**2+10):
            v = i**2 + j**2 + k**2 + i*j + j*k + k*i
            if v < 10**4+10:
                ans[v]+=1

for i in range(1,N+1):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())

for i in range(1, N+1):
    num = 0
    sqi = int(float(i)**0.5)
    for j in range(1,sqi+1):
        sqj = int(float(i-j**2)**0.5)
        for k in range(1, sqj+1):
            c = float(i-j**2-k**2-j*k)
            if c > 0:
                c *= -1.0
                b = float(j) + float(k)
                d = b**2-4*c
                if d >=0.0:
                    z = (-b + d**0.5)/2.0
                    if z.is_integer():
                        #print(j,k,z)
                        num +=1
    print(num)

Fixed submission:
N = int(input())
ans = [0]*(10**4+10)

for i in range(1,10**2+10):
    for j in range(1, 10**2+10):
        for k in range(1, 10**2+10):
            v = i**2 + j**2 + k**2 + i*j + j*k + k*i
            if v < 10**4+10:
                ans[v]+=1

for i in range(1,N+1):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())


for i in range(1, N+1):
    num = 0
    sqi = int(float(i)**0.5)
    for j in range(1,sqi+1):
        sqj = int(float(i-j**2)**0.5)
        for k in range(1, sqj+1):
            c = float(i-j**2-k**2-j*k)
            if c > 0:
                c *= -1.0
                b = float(j) + float(k)
                d = b**2-4*c
                if d >=0.0:
                    z = (-b + d**0.5)/2.0
                    if z.is_integer():
                        #print(j,k,z)
                        num +=1
                    else:
                        z = (-b - d**0.5)/2.0
                        if z.is_integer():
                            #print(j,k,z)
                            num +=1
    print(num)

Fixed submission:
N = int(input())
ans = [0]*(10**4+10)

for i in range(1,10**2+10):
    for j in range(1, 10**2+10):
        for k in range(1, 10**2+10):
            v = i**2 + j**2 + k**2 + i*j + j*k + k*i
            if v < 10**4+10:
                ans[v]+=1

for i in range(1,N+1):
    print(ans[i])

Buggy python submission (verdict: Time Limit Exceeded):
N = int(input())


for i in range(1, N+1):
    num = 0
    sqi = int(float(i)**0.5)
    for j in range(1,sqi+1):
        sqj = int(float(i-j**2)**0.5)
        for k in range(1, sqj+1):
            sqk = int(float(i-j**2-k**2)**0.5)
            for l in range(1, sqk+1):
                if j**2+k**2+l**2+j*k+k*l+l*j == i:
                    num +=1
    print(num)

Fixed submission:
N = int(input())
ans = [0]*(10**4+10)

for i in range(1,10**2+10):
    for j in range(1, 10**2+10):
        for k in range(1, 10**2+10):
            v = i**2 + j**2 + k**2 + i*j + j*k + k*i
            if v < 10**4+10:
                ans[v]+=1

for i in range(1,N+1):
    print(ans[i])