Recall that S(n, k) is the Stirling number of the second kind with parameters n and k. Prove the following: (s(n,n– 1) = C(n, 2) . Vn E Z+
Recall that S(n, k) is the Stirling number of the second kind with parameters n and k. Prove the following: (s(n,n– 1) = C(n, 2) . Vn E Z+
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![Recall that \( S(n, k) \) is the Stirling number of the second kind with parameters \( n \) and \( k \).
Prove the following:
\[
\forall n \in \mathbb{Z}^+ \left( S(n, n-1) = C(n, 2) \right).
\]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F004a8e3c-a278-4414-bbaf-77c8d726d7bd%2F720ea4b3-0cb6-431a-a90b-1bc04f594491%2Fprvpi8k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Recall that \( S(n, k) \) is the Stirling number of the second kind with parameters \( n \) and \( k \).
Prove the following:
\[
\forall n \in \mathbb{Z}^+ \left( S(n, n-1) = C(n, 2) \right).
\]
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