Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-

import sys
import math

def main():
    input = sys.stdin.readline
    N = int(input())

    result = 0
    small_ok_flag = False
    ok_flag = False
    for n in range(1,N+1):
        root_n = int(math.sqrt(n)) + 1
        if n < 3:
            print(0) 
            continue
        for i in range(1,root_n):
            for j in range(1,root_n):
                if i*i + j*j + i*j > n:
                    break
                for k in range(i,root_n):
                    if i*i + j*j + k*k + i*j + i*k + j*k > n:
                        break
                    if i*i + j*j + k*k + i*j + i*k + j*k == n:
                        if i == j and j == k:
                            result += 1
                        elif i == j or j == k or i == k:
                            result += 3
                        else:
                            result += 6
                        print(result)
                        result = 0
                        ok_flag = True
                        break
                if ok_flag:
                    break
            if ok_flag:
                break

        if not ok_flag:
            print(0)
        ok_flag = False
        
                        

    return


if __name__ == '__main__':
    main()

Fixed submission:
# -*- coding: utf-8 -*-

import sys
import math

def main():
    input = sys.stdin.readline
    N = int(input())

    result = 0
    ans_list = [0]*(N+1)
    root_n =int(math.sqrt(N))+1

    for i in range(1,root_n):
        for j in range(1,root_n):
            for k in range(1,root_n):
                f = i**2+j**2+k**2+i*j+i*k+j*k
                if f <= N:
                    ans_list[f] += 1 
    
    for i in range(1,N+1):
        print(ans_list[i])
        
                        

    return


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-

import sys
import math

def main():
    input = sys.stdin.readline
    N = int(input())

    result = 0
    small_ok_flag = False
    ok_flag = False
    for n in range(1,N+1):
        root_n = int(math.sqrt(n)) + 1
        if n < 3:
            print(0) 
            continue
        for i in range(1,root_n):
            for j in range(1,root_n):
                for k in range(i,root_n):
                    if i*i + j*j + k*k + i*j + i*k + j*k > n:
                        break
                    if i*i + j*j + k*k + i*j + i*k + j*k == n:
                        if i == j and j == k:
                            result += 1
                        elif i == j or j == k or i == k:
                            result += 3
                        else:
                            result += 6
                        print(result)
                        result = 0
                        ok_flag = True
                        break
                if ok_flag:
                    break
            if ok_flag:
                break

        if not ok_flag:
            print(0)
        ok_flag = False
        
                        

    return


if __name__ == '__main__':
    main()

Fixed submission:
# -*- coding: utf-8 -*-

import sys
import math

def main():
    input = sys.stdin.readline
    N = int(input())

    result = 0
    ans_list = [0]*(N+1)
    root_n =int(math.sqrt(N))+1

    for i in range(1,root_n):
        for j in range(1,root_n):
            for k in range(1,root_n):
                f = i**2+j**2+k**2+i*j+i*k+j*k
                if f <= N:
                    ans_list[f] += 1 
    
    for i in range(1,N+1):
        print(ans_list[i])
        
                        

    return


if __name__ == '__main__':
    main()

Buggy python submission (verdict: Time Limit Exceeded):
# -*- coding: utf-8 -*-

import sys
import math

def main():
    input = sys.stdin.readline
    N = int(input())

    result = 0
    ok_flag = False
    for n in range(1,N+1):
        root_n = int(math.sqrt(n)) + 1
        if n < 3:
            print(0) 
            continue
        for i in range(1,root_n):
            for j in range(1,root_n):
                for k in range(i,root_n):
                    if i*i + j*j + k*k + i*j + i*k + j*k == n:
                        if i == j and j == k:
                            result += 1
                        elif i == j or j == k or i == k:
                            result += 3
                        else:
                            result += 6
                        print(result)
                        result = 0
                        ok_flag = True
                        break
                if ok_flag:
                    break
            if ok_flag:
                break

        if not ok_flag:
            print(0)
        ok_flag = False
        
                        

    return


if __name__ == '__main__':
    main()

Fixed submission:
# -*- coding: utf-8 -*-

import sys
import math

def main():
    input = sys.stdin.readline
    N = int(input())

    result = 0
    ans_list = [0]*(N+1)
    root_n =int(math.sqrt(N))+1

    for i in range(1,root_n):
        for j in range(1,root_n):
            for k in range(1,root_n):
                f = i**2+j**2+k**2+i*j+i*k+j*k
                if f <= N:
                    ans_list[f] += 1 
    
    for i in range(1,N+1):
        print(ans_list[i])
        
                        

    return


if __name__ == '__main__':
    main()