K. 518

#include <iostream>

using namespace std;

int main()
{
    int limit; cout<<"Limit? "; cin>>limit;

    cout<<"\\table{ n & a hatszögszám & a vizsgált eset sorszáma "<<"\\\\\n";

    int curr=28, id=4, i=1;
    bool was=false;
    while(curr<=limit){
        cout<<id<<" & "<<curr<<" & "<<i<<"."<<((curr<limit) ? ((was=true), "\\\\") : ((was=false), ""))<<"\n";

        id++; i++;
        curr+=4*(id-1)+1;
    }

    if (was) {
        cout<<id<<" & "<<curr<<" & "<<i-1<<"+1"<<"\n";
    }

    cout<<"}";

    return 0;
}