Fibonacci Number as Sum of Binomial Coefficients/Examples/F12
Jump to navigation
Jump to search
Example of Use of Fibonacci Number as Sum of Binomial Coefficients
\(\ds F_{12}\) | \(=\) | \(\ds \binom {11} 0 + \binom {10} 1 + \binom 9 2 + \binom 8 3 + \binom 7 4 + \binom 6 5\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 1 + 10 + 36 + 56 + 35 + 6\) | ||||||||||||
\(\ds \) | \(=\) | \(\ds 144\) |
Sources
- 1986: David Wells: Curious and Interesting Numbers ... (previous) ... (next): $5$
- 1997: David Wells: Curious and Interesting Numbers (2nd ed.) ... (previous) ... (next): $5$