Pascal’s triangle
From Elliptic Curve Crypto
| 1 | ||||||||||||||||||||
| 1 | 1 | |||||||||||||||||||
| 1 | 2 | 1 | ||||||||||||||||||
| 1 | 3 | 3 | 1 | |||||||||||||||||
| 1 | 4 | 6 | 4 | 1 | ||||||||||||||||
| 1 | 5 | 10 | 10 | 5 | 1 | |||||||||||||||
| 1 | 6 | 15 | 20 | 15 | 6 | 1 | ||||||||||||||
| 1 | 7 | 21 | 35 | 35 | 21 | 7 | 1 | |||||||||||||
| 1 | 8 | 28 | 56 | 70 | 56 | 28 | 8 | 1 | ||||||||||||
| 1 | 9 | 36 | 84 | 126 | 126 | 84 | 36 | 9 | 1 | |||||||||||
| 1 | 10 | 45 | 120 | 210 | 252 | 210 | 120 | 45 | 10 | 1 | ||||||||||
Notation
Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle n \choose k} is the mathematical symbol for the kth entry of the nth row of Pascal’s triangle, (counting from zero!)
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n\choose k} = \frac{n!}{k!(n-k)!}}
- Failed to parse (SVG (MathML can be enabled via browser plugin): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle {n\choose k} = {n-1\choose k-1}+{n-1\choose k}}
