Mathematical relations reveal new identities with Fibonacci and Bernoulli numbers, indicating a connection in binomial transforms.
Given any two sequences of complex numbers, we establish simple relations between their binomial convolution and the binomial convolution of their individual binomial transforms. We employ these relations to derive new identities involving Fibonacci numbers, Bernoulli numbers, harmonic numbers, odd harmonic numbers and binomial coefficients.
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Kunle Adegoke (2025) studied this question.
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