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				Join Date: Feb 2005 
				
				
				
					Posts: 13,354
				 
				
				
				
				     
			 					
		
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		 Yeah, the point value of each is determined using a second order recursive sequence (AN+1 = AN + AN-1). So essentially the point value of Block X is equal to the point value of Block (X-1)+Block (X-2). So the point value table of block sizes up to 50 is shown below. 
 
Since the odds of getting multiple very large blocks is unlikely and a block only two or three larger will dwarf the value of the smaller block, the only point-based strategy that makes sense is to get the single largest block you can to the exclusion of any strategy for clearing the board. Essentially play it for a single block and any other small points you get along the way are incidental. scaeagles, I had the second smallest possible block that will score over a billion points, to do likewise you need at least a block of 44. I've found getting blocks of around 30 (1.6 million points) to be relatively simple (maybe 20 percent of games). 
 
2 = 2 
3 = 4 
4 = 6 
5 = 10 
6 = 16 
7 = 26 
8 = 42 
9 = 68 
10 = 110 
11 = 178 
12 = 288 
13 = 466 
14 = 754 
15 = 1,220 
16 = 1,974 
17 = 3,194 
18 = 5,168 
19 = 8,362 
20 = 13,530 
21 = 21,892 
22 = 35,422 
23 = 57,314 
24 = 92,736 
25 = 150,050 
26 = 242,786 
27 = 392,836 
28 = 635,622 
29 = 1,028,458 
30 = 1,664,080 
31 = 2,692,538 
32 = 4,356,618 
33 = 7,049,156 
34 = 11,405,774 
35 = 18,454,930 
36 = 29,860,704 
37 = 48,315,634 
38 = 78,176,338 
39 = 126,491,972 
40 = 204,668,310 
41 = 331,160,282 
42 = 535,828,592 
43 = 866,988,874 
44 = 1,402,817,466 
45 = 2,269,806,340 
46 = 3,672,623,806 
47 = 5,942,430,146 
48 = 9,615,053,952 
49 = 15,557,484,098 
50 = 25,172,538,050 
		
	
		
		
		
		
		
	
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