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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

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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

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