The Fascinating Double Angle Formulas of the Mulatu Numbers

The Mulatu numbers were introduced in [1]. The numbers are sequences of numbers of the form: 4,1, 5,6,11,17,28,45... The numbers have wonderful and amazing properties and patterns. In mathematical terms, the sequence of the Mulatu numbers is defined by the following recurrence relation: The double Angel Formulas for Fibonacci and Lucas numbers are given by the following formulas respectively. Since both the Fibonacci and Lucas numbers have double angle Formulas, It is natural to ask if such formula exist for Mulatu Numbers. The answer is affirmative and produces the following paper. 2000 Mathematical Subject Classification: 11