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Python | sympy partitions.RGS_generalized () method

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With the method sympy.combinatorics.partitions.RGS_generalized() we can get an unlimited growth row m + 1 and return the matrix using sympy.combinatorics. partitions.RGS_generalized () .

Syntax: sympy.combinatorics.partitions.RGS_generalized (m)
Return: Return a matrix of size m + 1.

Example # 1:
In this example, we see that with sympy.combinatorics.partitions.RGS_generalized () we can get an unlimited growth row and return a matrix of size m + 1.

Output:

Matrix (
[[1, 1, 1, 1],
[1, 2, 3, 0],
[2, 5, 0, 0],
[5, 0, 0, 0]])

Example # 2:

# import sympy and RGS_generalized

from sympy.combinatorics.partitions import RGS_generalized

from sympy import *

  
# Using sympy.combinatorics.partitions.RGS_generalized () method

gfg = RGS_generalized ( 3 )

 

print (gfg)

# import sympy and RGS_generalized

from sympy.combinatorics.partitions import RGS_generalized

from sympy import *

 
# Using sympy.combinatorics .partitions.RGS_generalized () method

gfg = RGS_generalized ( 6 )

  

print (gfg)

Output:

Matrix (
[[ 1, 1, 1, 1, 1, 1, 1],
[1, 2, 3, 4, 5, 6, 0],
[2, 5, 10, 17, 26, 0, 0],
[5, 15, 37, 77, 0, 0, 0],
[15, 52, 151, 0, 0, 0, 0],
[52, 203, 0, 0, 0, 0, 0],
[203, 0, 0, 0, 0, 0, 0]])

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