ON SOME PROPERTIES OF PRODUCT OF FIBONACCI AND LUCAS NUMBERS

This study presenting the properties of numbers that we get by multiplying Fibonacci and Lucas numbers.Namely we define recurrence relation +2 = 3 +1 - , 0 0 = 0, 1 = 1 .We investigate some basic properties of product of Fibonacci and Lucas numbers such as the Binet formula, generating function, generalized identity.We shall use the Binet's formula and generating function for derivation.Also, we present its two cross two matrix representation.