Discrete Math II/Combinatorics (Entire course) - Discrete Math II - 8.4.6 The Explicit Form of a Generating Function

Now that we are more familiar with how to use generating functions, we want to take a look at how we can solve a generating function explicitly. We want to create a function of n that will give us the output of the coefficient of x^n for at any value of n as an input. This will generally require the use of partial fractions, though our helpful table will come in handy, as well. Video Chapters: Intro 0:00 Helpful Table 0:06 An Easy Example (no work required) 0:16 Solve An Earlier Example {1,0,1,0,1,...} Explicitly 1:32 Solving an Upcoming Example (Recurrence Relation) 10:29 Up Next 21:07 This playlist uses Discrete Mathematics and Its Applications, Rosen 8e Power Point slide decks to accompany the videos can be found here: https://bellevueuniversity-my.sharepoint.com/:f:/g/personal/kbrehm_bellevue_edu/Ei9DcmrOBTlAuMxWUoq9ZqsB14M60jcpob-xdAYS6ruVWw?e=uP9KN0 The entire playlist can be found here: https://www.youtube.com/playlist?list=PLl-gb0E4MII0sGLCJeqDB3y63HZ6lM5LJ