Question: Find a recurrence relation for S n , the number of ways to writhe n as an ordered sum using only the number 1 ,

Find a recurrence relation for S_n, the number of ways to writhe n as an ordered sum using only the number 1 , and 2. for example, S₄= 5 since 4 is equal to each of the followings: 1+1+1+1, 1+1+2, 1+2+1, 2+1+1, 2+2

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

1. Problem: Covering a 2 x n grid. a. Find a recurrence relation for C, the number of ways to cover a 2 x n grid using 2 x 1 tiles. Make sure to include your initial conditions. b. Solve your...

MATH 3210 Practice Final Exam for Discrete I You now have several quizzes and hour exams to study. The following in mainly a repetition of your previous practice and actual exams. 1. (a) Use truth...

#2, MATH3825/MATH3855/COMP3805, Winter 2017 Due on 24 March. Total: 100 marks 1. [10 marks] You are building a wall out of Lego bricks. You have bricks of length 1 and bricks of length 2. Let bn be...

Suppose we wish to create a banner containing a string of letters n inches long. The letters we wish to use are available in the following widths: 1 inch wide letters: f, i, t . 2 inch wide letters:...

The Even Three's - Part 2 - Finding and Solving an Now that we have found 4. Qg, and ag, we will find a recurrence relation for an and solve the recurrence Consider words of length There are 3 to the...

Casey's program: def a (n): if n== 0: return 0 elif n==1: return 1 else: return a (n-1) + 2*a (n-2) for n in range (2, 101): print (n, a (n)) Counting the number of arithmetic operations Casey's...

You must show your steps and formulae used in your solutions to questions. Read each question carefully. You can assume that all recurrence relations are non-decreasing. You can omit floor and...

Discrete Maths Problem 1 ("Warmup. There is a saying: "If you really know it, you can explain it to your grandparents". Pretend that you're having coffee with your grandparents. Explain the the...

* * * Write Code in Java * * * And provide the instraction how to run the code. Program Requirements Design an algorithm by applying dynamic programming ( DP ) to solve the following problem and...

Problem 1. Reconsider the Florida sandhill crane model for the best, medium and worst envi- ronment conditions with corresponding growth rates r = 1.94%, r= -3.24% and r = = -3.82% respectively....

The Skelton Manufacturing Company recently did a study of its customers. A random sample of 50 customer accounts was pulled from the computer records. Two variables were observed: y = Total doll...

GROUP PROJECT FINANCIAL REPORTING & ANALYSIS Examining an Annual Report: As a team of 3-5 members, select one of the following industries retail, restaurants, or airlines to individually analyze a...

Lance - Hietner Speciaty Shoppes decided to use the dotar walue LFO iefal method to value its invertory Accourting fecords perpide the following information: \ table [ [ , Cont,Brlail ] , [...

Ceramic Materials and Processing Make-up Final (60 min.) Pledge: I solved these problems by myself without receiving help from somebody else. Signature: PROBLEM SECTION (60P) 15.02.2021 1- A...