Integral solution of the non-homogeneous heptic equation in terms of the generalised Fibonacci and Lucas sequences
Journal Title: International Journal of Modern Engineering Research (IJMER) - Year 2013, Vol 3, Issue 3
Abstract
Abstract: We obtain infinitely many non-zero integer sextuples ( , , , , , ) x y z w p T satisfying the Non-homogeneous equation of degree seven with six unknowns given by 5 5 3 3 2 2 2 2 3 x y x y xy z w p T w ( ) 4 3( ) . The solutions are obtained in terms of the generalised Fibonacci and Lucas sequences. Recurrence relations for the variables are given.Various interesting relations between the solutions and special numbers, namely polygonal numbers, Pyramidal numbers, centered hexagonal pyramidal numbers and Four Dimensional Figurative numbers are presented
Authors and Affiliations
S. Vidhyalakshmi
Keywords
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