Tool to compute value for Pascal's triangle. Pascal's Triangle is an arithmetic list of number imagined by Blaise Pascal where each item is either 1 or the sum of the two elements above it.
Pascal's Triangle - dCode
Tag(s) : Arithmetics, Series
dCode is free and its tools are a valuable help in games, puzzles and problems to solve every day!
You have a problem, an idea for a project, a specific need and dCode can not (yet) help you? You need custom development? Contact-me!
Pascal's Triangle
Sponsored ads
Pascal Triangle Calculator
Tool to compute value for Pascal's triangle. Pascal's Triangle is an arithmetic list of number imagined by Blaise Pascal where each item is either 1 or the sum of the two elements above it.
Answers to Questions
How to create a pascal triangle?
The principle is easy, write 1 on the first line, and 1 1 on the second line.
For the next lines, add the values of the two numbers directly above.
Example: Start of the Pascal Triangle :
1
1 1
1 2 1
1 3 3 1
1 4 6 4 1
1 5 10 10 5 1
Values can be calculated using binomial coefficient, also used in calculation of combinations.
Pascal triangle values can be compared to the Fibonacci sequence where each number is the sum of the two preceding numbers.
How to calculate a precise value in the Pascal's triangle?
A value \( V \) of the Pascal triangle at the position (line A, column B) can be calculated with the binomial coefficients (and thus with factorials) and the formula $$ V = \ binom {A} {B} = \ frac {A!} {B! (A-B)!} $$
Ask a new question
Source code
dCode retains ownership of the source code of the script Pascal's Triangle online. Except explicit open source licence (indicated Creative Commons / free), any algorithm, applet, snippet, software (converter, solver, encryption / decryption, encoding / decoding, ciphering / deciphering, translator), or any function (convert, solve, decrypt, encrypt, decipher, cipher, decode, code, translate) written in any informatic langauge (PHP, Java, C#, Python, Javascript, Matlab, etc.) which dCode owns rights will not be given for free. So if you need to download the online Pascal's Triangle script for offline use, check contact page !
Questions / Comments
