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math.NT2025
On concatenations of two -generalized Lucas numbers
Alex Behakanira Tumwesigye, Mahadi Ddamulira, Prosper Kaggwa
For an integer \( k \geq 2 \), the sequence of \( k \)-generalized Lucas numbers is defined by the recurrence relation \( L_n^{(k)} = L_{n-1}^{(k)} + \cdots + L_{n-k}^{(k)} \) for…
math.GM2025
On Palindromic forms in the -Lucas sequence composed of two distinct Repdigits
Herbert Batte, Prosper Kaggwa
For integers , the -generalized Lucas sequence is defined by the recurrence relation \[ L_n^{(k)} = L_{n-1}^{(k)} + \cdots + L_{n-k}^{(k)}…