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12:15 pm

Fibonacci and Lucas analogues of binomial coefficients and what they count (Curtis Bennett, CSULB)

April 2 @ 12:15 pm - 1:10 pm
Millikan 2099, Pomona College, 610 N. College Ave.
Claremont, CA 91711 United States
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A Fibonomial is what is obtained when you replace each term of the binomial coefficients $ {n \choose k}$ by the corresponding Fibonacci number.  For example, the Fibonomial $${ 6\brace 3 } = \frac{F_6 \cdot F_5 \cdot \dots \cdot F_1}{(F_3\cdot F_2 \cdot F_1)(F_3\cdot F_2 \cdot F_1)} = \frac{8\cdot5\cdot3\cdot2\cdot1\cdot1}{(2\cdot1\cdot1)(2\cdot1\cdot1)} = 60$$ since the first six Fibonacci […]

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