On some new generalized structure of Fibonacci numbers

Key Points

• A new sequence of Gaussian Bronze Fibonacci numbers is introduced, expanding existing structures of Fibonacci numbers.
• The work establishes a generalized Binet formula, providing a fresh perspective on the classical approach to Fibonacci numbers.
• Basic properties of the Gaussian Bronze Fibonacci numbers will be examined to understand their mathematical significance.
• The exploration of these new structures may yield insights into other number sequences and their relationships.