A so-called “star number”, s, is a number defined by the formula: s = 6n(n-1) + 1 where n is the index of the star number. Thus the first six (i.e. for n = 1, 2, 3, 4, 5 and 6) star numbers are: 1, 13, 37, 73, 121, 181

In contrast a so-called “triangle number”, t, is the sum of the numbers from 1 to n: t = 1 + 2 + … + (n-1) + n. Thus the first six (i.e. for n = 1, 2, 3, 4, 5 and 6) triangle numbers are: 1, 3, 6, 10, 15, 21

Write a Java application that produces a list of all the values of type int that are both star number and triangle numbers.

Hey, I have some questions how to write this program, I have started it and there's what I have so far, what I want to ask is should I create an endless loop? I want to find star numbers first , then to find triangular numbers and just try if it works, then I thought of creating a function where both will be displayed. Am I on the right track?

Thanks)

```
import java.util.Scanner;
public class triangular_stars {
public static void main(String[] args) {
int stars = findStarNumber(0);
int triangular=findTriangularNumber(0);
}
public static int findStarNumber(int stars) {
int ending_number = 10;
for (int i= 1; i <ending_number; i++) {
int s=0;
for(int n=1; n>i; n++){
s= 6 * n * (n - 1) + 1;
}
System.out.println(i +" = " + s);
}
return ending_number;
}
public static int findTriangularNumber(int t){
int starting_number = 1;
int ending_number = 100;
for (int i = starting_number; i <= ending_number; i++) {
int triangular = 0;
for (int j = 1; j <= i; j++) {
triangular = triangular + j;
}
System.out.println(i + " = " + triangular);
}
return ending_number;
}
}
```