On the ternary quadratic Diophantine equation 6(X2 + Y2)-11XY + 2(X + Y) + 4 = 27Z2
S Vidhyalakshmi, MA Gopalan, S Thenmozhi
The ternary quadratic equation given by 6(X2 + Y2)-11XY + 2(X + Y) + 4 = 27Z2 is considered and searched for its many different integer solutions. Four different choices of integer solutions to the above equation are presented. A few interesting relations between the solutions and special polygonal numbers are presented.