Negalucas Numbers

Calculates values of Lucas numbers for negative indices, extending the traditional definition of the sequence beyond positive integers. The tool employs a mathematical method to determine these extended terms, providing a structured way to visualize and analyze the pattern that connects Lucas sequences across both positive and negative number lines. Users input desired parameters, such as the index and initial conditions, allowing the platform to generate the corresponding Negalucas numbers in sequence form. Students of number theory and mathematicians researching linear recurrence relations find this utility useful for verifying theoretical formulas. It provides an accessible way to explore sequences that are often studied abstractly or require complex derivations.