Buggy python submission (verdict: Runtime Error):
N=int(input())

a=[0]*N

x=1
while x*x<=N:
    y=1
    while x*x+y*y+x*y<=N:
        z=1
        while z*z+x*x+y*y+x*y+z*y+z*x<=N:
            a[z*z+x*x+y*y+x*y+z*y+z*x]+=1
            z+=1
        y+=1
    x+=1

for n in a:
    print(n)
    


Fixed submission:
N=int(input())

a=[0]*N

x=1
while x*x<=N:
    y=1
    while x*x+y*y+x*y<=N:
        z=1
        while z*z+x*x+y*y+x*y+z*y+z*x<=N:
            a[z*z+x*x+y*y+x*y+z*y+z*x-1]+=1
            z+=1
        y+=1
    x+=1

for n in a:
    print(n)

Buggy python submission (verdict: Time Limit Exceeded):
from math import trunc, sqrt

def p(x,y,z):
    return x**2+y**2+z**2+x*y+y*z+z*x

def perm(x,y,z):
    if x==y and y==z and z==x:
        return 1
    if x!=y and y!=z and z!=x:
        return 6
    return 3

def eqn(n,x,y):
    s=4*n-3*x**2-2*x*y-3*y**2
    if s<0:
        return (False,0,0)

    t=sqrt(s)
    z1=(-t-x-y)/2
    z2=(t-x-y)/2
    return (True,z1,z2)
    

def is_int(x):
    return trunc(x)==x

def f(n):
    #print("==",n)
    mn=trunc(sqrt(n//3)+1)
    k=[]
    for x in range(1,mn+1):
        for y in range(1,mn+1):
            
            (f,z1,z2)=eqn(n,x,y)
            #print(f,z1,z2)
            
            if not f:
                continue

            if z1>0 and is_int(z1):
                k+=[(x,y,z1)]

            if z2!=z1:
                if z2>0 and is_int(z2):
                    k+=[(x,y,z2)]
            
    return len(k)

N=int(input())

for n in range(1,N+1):
    print(f(n))
    


Fixed submission:
N=int(input())

a=[0]*N

x=1
while x*x<=N:
    y=1
    while x*x+y*y+x*y<=N:
        z=1
        while z*z+x*x+y*y+x*y+z*y+z*x<=N:
            a[z*z+x*x+y*y+x*y+z*y+z*x-1]+=1
            z+=1
        y+=1
    x+=1

for n in a:
    print(n)

Buggy python submission (verdict: Time Limit Exceeded):
from math import trunc, sqrt

def p(x,y,z):
    return x**2+y**2+z**2+x*y+y*z+z*x

def perm(x,y,z):
    if x==y and y==z and z==x:
        return 1
    if x!=y and y!=z and z!=x:
        return 6
    return 3

def f(n):
    mn=trunc(sqrt(n//3)+1)
    k=0
    for x in range(1,mn+1):
        for y in range(x,mn+1):
            for z in range(y,mn+1):
                if p(x,y,z)==n:
                    k += perm(x,y,z)
    return k

N=int(input())

for n in range(1,N+1):
    print(f(n))
    


Fixed submission:
N=int(input())

a=[0]*N

x=1
while x*x<=N:
    y=1
    while x*x+y*y+x*y<=N:
        z=1
        while z*z+x*x+y*y+x*y+z*y+z*x<=N:
            a[z*z+x*x+y*y+x*y+z*y+z*x-1]+=1
            z+=1
        y+=1
    x+=1

for n in a:
    print(n)

Buggy python submission (verdict: Time Limit Exceeded):
from math import trunc, sqrt

def p(x,y,z):
    return x**2+y**2+z**2+x*y+y*z+z*x

def perm(x,y,z):
    if x==y and y==z and z==x:
        return 1
    if x!=y and y!=z and z!=x:
        return 6
    return 3

def f(n):
    mn=n
    k=0
    for x in range(1,mn+1):
        for y in range(x,mn+1):
            for z in range(y,mn+1):
                if p(x,y,z)==n:
                    k += perm(x,y,z)
    return k

N=int(input())

for n in range(1,N+1):
    print(f(n))
    


Fixed submission:
N=int(input())

a=[0]*N

x=1
while x*x<=N:
    y=1
    while x*x+y*y+x*y<=N:
        z=1
        while z*z+x*x+y*y+x*y+z*y+z*x<=N:
            a[z*z+x*x+y*y+x*y+z*y+z*x-1]+=1
            z+=1
        y+=1
    x+=1

for n in a:
    print(n)