On the Fibonacci quaternion sequence with quadruple-produce components
Keywords: fibonacci numbers, golden ratio, quaternion, generating function, exponential generating function, series, binomial sum
This paper examines the Fibonacci quaternion sequence with quadruple-produce components, and demonstrates a golden-like ratio and some identities for this sequence. Its generating and exponential generating functions are given. Along with these, its series and binomial sum formula are established.
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