n ΣS(n, k) x(x - 1). · · (x − k + 1) = x². . k=1
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Verify the theorem Using frimage below
for x = 5, n = 5 Show all work related to finding the values of S(n,k) that appear in the summa
Transcribed Image Text:n
ΣS(n, k) x(x - 1). · · (x − k + 1) = x².
.
k=1
Expert Solution
Step 1:
S(n, k) is known as the Sterling number of second kind.
S(n, k) can be calculated using the formula :
S(n, k) = S(n–1,k–1) + k.S(n–1,k)
Some of the properties :-
- S(n, n) = 1
- S(n,0) = 0
- S(n,1) = 1
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