perplexus.info :: Numbers : Recursive Definition

Home > Numbers

Recursive Definition (Posted on 2005-09-09)

Define H(m,n) for m≥n≥0 by

H(m,n)=1, if n≤1

H(m,n)=Σ_i=1..nH(m-i,minimum(i,m-i)), if n>1

For any integer k>0, what do you think H(k,k) represents?

See The Solution Submitted by Bractals

No Rating

Comments: ( Back to comment list | You must be logged in to post comments.)

just a little resume to think later

| Comment 4 of 8 |

 k  H(k,k)       
 2....2.......... 
 3....3.......... 
 4....5.......... 
 5....7.......... 
 6....11......... 
 7....15......... 
 8....22......... 
 9....30......... 
10....42.........
11....56.........
12....77
13....101
14....135
15....176
16....231
17....297
18....385

Posted by pcbouhid on 2005-09-09 15:56:09

Please log in:

Login:
Password:
Remember me:

Sign up! \| Forgot password

Search:

Search body:

Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (3)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:


perplexus dot info