A Study on Binomial Transform of the Generalized Sixth Order Pell Sequence | Asian Journal of Pure..

The binomial transform of the generalised sixth order Pell sequence is defined in this study, and the binomial transforms of the sixth order Pell and sixth order Pell-Lucas sequences are introduced as special instances. We look into their qualities in depth. For these binomial transformations, we offer Binet's formulae, generating functions, Simson formulas, recurrence characteristics, and summation formulas. We also provide additional identities that are connected to these binomial transformations.

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