The McCarthy 91 function is a recursive function, defined by the computer scientist John McCarthy as a test case for formal verification within computer science.
The McCarthy 91 function is defined for integer n as:
Remarkably, the function yields 
for all 
(hence, the function name).
for all (hence, the function name).A more generalized form of the McCarthy's recursive function is defined below:
For positive integers a, b, c, k, and n.
The expression 
, means applying the function G, k number of times:
, means applying the function G, k number of times:
This means that the 'original' McCarthy-91 function 
is actually 
, with 
, 
, 
and 
.
is actually , with , , and .Given integers, a, b, c, k, and n, evaluate the value of .
.--------------------
NOTE: The McCarthy-91 function was created to test recursive function implementations. In this problem, while iterative loops are allowed, use of recursion is encouraged.
Solution Stats
Solution Comments
Show comments
Loading...
Problem Recent Solvers4
Suggested Problems
-
Return the first and last characters of a character array
12296 Solvers
-
Put Two 1D matrices into one 1D matrix
142 Solvers
-
convert matrix to single column
439 Solvers
-
Change the first and last diagonal element of the identity matrix to zero
160 Solvers
-
77 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
