Find a recurrence relation for the tower

Reference no: EM131178672

A set of blocks contains blocks of heights 1, 2, and 4 centimeters. Imagine constructing towers by piling blocks of different heights directly on top of one another. (A tower of height 6 cm could be obtained using six 1-cm blocks, three 2-cm blocks one 2-cm block with one 4-cm block on top, one 4-cm block with one 2-cm block on top, and so forth.) Let t_n be the number of ways to construct a tower of height n cm using blocks from the set. (Assume an unlimited supply of blocks of each size.) Find a recurrence relation for t₁, t₂, t₃,....

Reference no: EM131178672

Questions Cloud

Identify most significant problems with the way foreign aid : Based on the lecture and Webtext materials, address the following: Identify the most significant problems with the way foreign aid is presently dispensed by international lending institutions.

Least cost deployment of manned and unmanned assets : You need to find the least cost deployment of manned and unmanned assets to do the job. Define the initial equations for the linear programming problem (you don't need to solve them, but if you can it will help me alot) Use x = # of helicopters, y =..

Calculate break even point : Calculate Break-even point. - Compute the variable cost per unit and the fixed cost per month for the semi-variable expense based on the information provided using the high-low method.

Do volunteers deserve the board attention : If organizations are smart they would use these volunteers as conduits to gain valuable insight and knowledge of the stakeholders needs. These people are volunteers that have no vested interest in an organization, so stakeholders might be more wi..

Find a recurrence relation for the tower : Let tn be the number of ways to construct a tower of height n cm using blocks from the set. (Assume an unlimited supply of blocks of each size.) Find a recurrence relation for t1, t2, t3,....

Computing the area of triangle pqr : The line 5y-3x+1 meets the hyperbola x2-3y2=1 at P and at Q. The tangent at P and Q meet at R. Find the coordinate of P; Q ;R. The area of triangle PQR.

Address to let all employee know about company special event : You need to let all employees know about a company special event. You hear from a friend that a client is about to sign a contract with one of your present competitors.

Highest level of measurement : What is the highest level of measurement that could be correctly applied to the variable "Population Density"?

How can risk be mitigated : How can risk be mitigated? Explain any new approaches or new adaptations that may mitigate the risks that you outline. (Use case studies and examples where possible)

User Account

All Pages