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Factoriangular numbers in balancing and Lucas-balancing sequence
Boletin De La Sociedad Matematica Mexicana, 2020The balancing numbers \(\{B_n\}_{n\ge 0}\) have initial terms \(B_0=0,~B_1=1\) and satisfy the recurrence \(B_{n+2}=6B_{n+1}-B_n\) for all \(n\ge 0\). The Lucas-balancing numbers \(\{C_n\}_{n\ge 0}\) have initial terms \(C_0=1,~C_1=3\) and satisfy the same recurrence relation as the balancing numbers.
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On $${\pmb k}$$-Fibonacci numbers expressible as product of two Balancing or Lucas-Balancing numbers
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