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

for i in range(1,n+1):
    ans = 0
    for x in range(1,int(i**0.5+1)):
        for y in range(1,int((i-x**2)**0.5+1)):
            a = (x+y)**2 - 4*(x**2 + y**2 + x*y - i)
            if a >= 0:
                z1 = (a**0.5) -(x+y)
                z2 = -(a**0.5) -(x+y)
                if z1//1 == z1 and z1 > 0:
                    ans += 1
                if z2//1 == z2 and z2 > 0:
                    ans += 1
    print(ans)

Fixed submission:
n = int(input())

a = [0]*(10**4)

for x in range(1,10**2):
    for y in range(1,10**2):
        for z in range(1,10**2):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s <= 10**4:
                a[s-1] += 1

for i in range(n):
    print(a[i])

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

for i in range(1,n+1):
    ans = 0
    for x in range(1,int(i**0.5+1)):
        for y in range(1,int((i-x**2)**0.5+1)):
            a = (x+y)**2 - 4*(x**2 + y**2 + x*y - i)
            if a >= 0:
                z1 = (a**0.5) -(x+y)
                z2 = -(a**0.5) -(x+y)
                if z1//1 == z1 and z1 > 0:
                    ans += 1
                if z2//1 == z2 and z2 > 0:
                    ans += 1
    print(ans)

Fixed submission:
n = int(input())

a = [0]*(10**4)

for x in range(1,10**2):
    for y in range(1,10**2):
        for z in range(1,10**2):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s <= 10**4:
                a[s-1] += 1

for i in range(n):
    print(a[i])

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

for i in range(1,n+1):
    ans = 0
    for x in range(1,int(n**0.5+1)):
        for y in range(1,int((n-x**2)**0.5+1)):
            if (x+y)**2 - 4*(x**2 + y**2 + x*y - i) >= 0:
                z1 = (((x+y)**2 - 4*(x**2 + y**2 + x*y - i))**0.5) -(x+y)
                z2 = -(((x+y)**2 - 4*(x**2 + y**2 + x*y - i))**0.5) -(x+y)
                if z1//1 == z1 and z1 > 0:
                    ans += 1
                elif z2//1 == z2 and z2 > 0:
                    ans += 1
    print(ans)

Fixed submission:
n = int(input())

a = [0]*(10**4)

for x in range(1,10**2):
    for y in range(1,10**2):
        for z in range(1,10**2):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s <= 10**4:
                a[s-1] += 1

for i in range(n):
    print(a[i])

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

for i in range(1,n+1):
    ans = 0
    for x in range(1,int(n**0.5+1)):
        for y in range(1,int(n**0.5+1)):
            if (x+y)**2 - 4*(x**2 + y**2 + x*y - i) >= 0:
                z1 = (((x+y)**2 - 4*(x**2 + y**2 + x*y - i))**0.5) -(x+y)
                z2 = -(((x+y)**2 - 4*(x**2 + y**2 + x*y - i))**0.5) -(x+y)
                if z1//1 == z1 and z1 > 0:
                    ans += 1
                elif z2//1 == z2 and z2 > 0:
                    ans += 1
    print(ans)

Fixed submission:
n = int(input())

a = [0]*(10**4)

for x in range(1,10**2):
    for y in range(1,10**2):
        for z in range(1,10**2):
            s = x**2 + y**2 + z**2 + x*y + y*z + z*x
            if s <= 10**4:
                a[s-1] += 1

for i in range(n):
    print(a[i])