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Central Fibonomial Coefficient

المؤلف:  Brousseau, A.

المصدر:  "A Sequence of Power Formulas." Fib. Quart. 6

الجزء والصفحة:  ...

2-12-2020

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Central Fibonomial Coefficient

The th central fibonomial coefficient is defined as

			(1)
			(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).

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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."