Python | sympy.binomial_coefficients_list() method

The binomial_coefficients_list() function from the sympy library returns a list of binomial coefficients. The list represents the coefficients from the binomial expansion of (x + y)**n, where n is a non-negative integer.

Here's how you can use the binomial_coefficients_list() method:

from sympy import binomial_coefficients_list n = 4 coefficients = binomial_coefficients_list(n) print(coefficients) 

Output:

[1, 4, 6, 4, 1] 

The output corresponds to the coefficients of the binomial expansion of (x + y)**4, which is x**4 + 4*x**3*y + 6*x**2*y**2 + 4*x*y**3 + y**4.

The returned list starts with the coefficient of x**n and goes down to the coefficient of y**n. The length of the list will always be n + 1.

It's worth noting that while binomial_coefficients_list() provides the coefficients in list form, there's also binomial_coefficients() which provides these coefficients in dictionary form, keyed by tuples (i, j) where i and j represent the powers of x and y respectively in each term.

---

More Tags

system.diagnostics android-xml deprecation-warning python-extensions create-react-app responsive opensuse cultureinfo pyramid macos

More Programming Guides

• Pack() method in Tkinter
• Spring Boot - AOP After Advice
• Convert the pandas Series to numpy Array
• C++ Operators that Cannot be Overloaded
• MySQL POW And POWER Functions: Square
• Java static Keyword (static Variables And static Methods)
• Linux rpm Command
• Use undefined Function or Variable

Other Guides

• In Python, how to load YAML mappings as OrderedDicts?
• Java Type Generic as Argument for GSON
• Insert into a List alphabetically C#
• Efficiently deleting item from within 'foreach' in C#
• "select" on multiple Python multiprocessing Queues?

More Programming Examples

• c# - Remove the escape sequence '\' from string to convert it to XmlDocument
• reactjs - React setState not Updating Immediately
• scala - How to flatten list inside RDD?
• dart - How to make a multi column Flutter DataTable widget span the full width?
• How to change column order in a table using sql query in sql server?
• How to replace a text in conf file in docker image