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Date: 16-1-2021
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Date: 1-12-2020
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Date: 2-9-2020
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The th central fibonomial coefficient is defined as
(1) |
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(2) |
where is a fibonomial coefficient, is a Fibonacci number, is the golden ratio, and is a q-Pochhammer symbol (E. W. Weisstein, Dec. 8, 2009).
For , 2, ..., the first few are 1, 6, 60, 1820, 136136, ... (OEIS A003267).
REFERENCES:
Brousseau, A. "A Sequence of Power Formulas." Fib. Quart. 6, 81-83, 1968.
Brousseau, A. Fibonacci and Related Number Theoretic Tables. San Jose, CA: Fibonacci Association, p. 74, 1972.
Sloane, N. J. A. Sequence A003267/M4272 in "The On-Line Encyclopedia of Integer Sequences."
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