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#1 2006-02-06 22:12:28
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Circular sequence results
I forgot to post my SS results, that I made two weeks ago.
Don't worry if you don't understand this.
Curcular loops up to zise 90:
Circular sequence results:
Size: 1 :: {}
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Size: 27 :: {}
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Size: 31 :: {}
Size: 32 :: {1,8,28,21,4,32,17,19,30,6,3,13,12,24,25,11,5,31,18,7,29,20,16,9,27,22,14,2,23,26,10,15,1}
Size: 33 :: {1,8,28,21,4,32,17,19,30,6,3,13,12,24,25,11,5,20,29,7,18,31,33,16,9,27,22,14,2,23,26,10,15,1}
Size: 34 :: {1,3,13,12,4,32,17,8,28,21,15,34,30,19,6,10,26,23,2,14,22,27,9,16,33,31,18,7,29,20,5,11,25,24,1}
Size: 35 :: {1,3,6,19,30,34,2,7,18,31,33,16,9,27,22,14,11,25,24,12,13,23,26,10,15,21,28,8,17,32,4,5,20,29,35,1}
Size: 36 :: {1,3,6,19,30,34,2,23,26,10,15,21,4,32,17,8,28,36,13,12,24,25,11,5,20,29,7,18,31,33,16,9,27,22,14,35,1}
Size: 37 :: {1,3,22,14,35,29,20,5,11,25,24,12,37,27,9,16,33,31,18,7,2,34,15,21,4,32,17,19,30,6,10,26,23,13,36,28,8,1}
Size: 38 :: {1,3,33,16,9,7,18,31,5,20,29,35,14,22,27,37,12,13,36,28,8,17,32,4,21,15,10,6,19,30,34,2,23,26,38,11,25,24,1}
Size: 39 :: {1,3,22,14,2,7,18,31,33,16,9,27,37,12,24,25,39,10,6,19,30,34,15,21,4,32,17,8,28,36,13,23,26,38,11,5,20,29,35,1}
Size: 40 :: {1,3,6,19,30,34,2,7,18,31,33,16,9,40,24,25,39,10,15,21,28,36,13,23,26,38,11,5,20,29,35,14,22,27,37,12,4,32,17,8,1}
Size: 41 :: {1,3,6,10,39,25,24,12,37,27,22,14,35,29,20,5,11,38,26,23,13,36,28,8,41,40,9,16,33,31,18,7,2,34,30,19,17,32,4,21,15,1}
Size: 42 :: {1,3,6,10,15,21,4,32,17,19,30,34,2,14,22,27,37,12,24,25,39,42,7,18,31,33,16,9,40,41,8,28,36,13,23,26,38,11,5,20,29,35,1}
Size: 43 :: {1,3,6,10,15,21,43,38,26,23,2,34,30,19,17,32,4,5,11,14,22,42,39,25,24,40,41,8,28,36,13,12,37,27,9,7,18,31,33,16,20,29,35,1}
Size: 44 :: {1,3,6,10,15,21,43,38,26,23,2,34,30,19,17,32,4,5,11,14,22,27,9,16,33,31,18,7,42,39,25,24,40,41,8,28,36,13,12,37,44,20,29,35,1}
Size: 45 :: {1,3,6,10,15,21,43,38,26,23,13,12,24,25,39,42,22,14,11,5,44,37,27,9,40,41,8,28,36,45,4,32,17,19,30,34,2,7,18,31,33,16,20,29,35,1}
Size: 46 :: {1,3,6,10,15,21,43,38,26,23,13,12,24,25,39,42,22,14,11,5,44,37,27,9,40,41,8,28,36,45,4,32,17,19,30,34,2,7,29,20,16,33,31,18,46,35,1}
Size: 47 :: {1,3,6,10,15,21,43,38,26,23,13,12,4,32,17,47,2,34,30,19,45,36,28,8,41,40,9,7,29,20,16,33,31,18,46,35,14,11,5,44,37,27,22,42,39,25,24,1}
Size: 48 :: {1,3,6,10,15,21,43,38,26,23,13,12,4,32,17,47,2,34,30,19,45,36,28,8,41,40,9,7,29,20,16,48,33,31,18,46,35,14,11,5,44,37,27,22,42,39,25,24,1}
Size: 49 :: {1,3,6,10,15,49,32,4,5,11,14,2,7,9,27,22,42,39,25,24,40,41,8,17,47,34,30,19,45,36,28,21,43,38,26,23,13,12,37,44,20,29,35,46,18,31,33,16,48,1}
Size: 50 :: {1,3,6,10,15,49,32,4,5,11,14,50,31,18,46,35,29,7,9,27,22,42,39,25,24,40,41,8,17,47,2,34,30,19,45,36,28,21,43,38,26,23,13,12,37,44,20,16,33,48,1}
Size: 51 :: {1,3,6,10,15,21,43,38,26,23,2,7,9,27,22,42,39,25,24,40,41,8,28,36,13,51,49,32,17,47,34,30,19,45,4,12,37,44,5,11,14,50,31,18,46,35,29,20,16,33,48,1}
Size: 52 :: {1,3,6,10,15,21,43,38,26,23,2,7,9,16,33,48,52,12,37,27,22,42,39,25,11,14,50,31,18,46,35,29,20,44,5,4,45,19,30,34,47,17,32,49,51,13,36,28,8,41,40,24,1}
Size: 53 :: {1,3,6,10,15,21,43,38,26,23,2,7,9,16,33,48,52,12,4,45,19,30,34,47,17,32,49,51,13,36,28,53,11,14,50,31,18,46,35,29,20,5,44,37,27,22,42,39,25,24,40,41,8,1}
Size: 54 :: {1,3,6,10,15,21,43,38,26,23,2,7,9,16,33,48,52,12,13,36,45,19,17,47,34,30,51,49,32,4,5,11,53,28,8,41,40,24,25,39,42,22,14,50,31,18,46,54,27,37,44,20,29,35,1}
Size: 55 :: {1,3,6,10,15,21,43,38,11,5,4,12,13,23,26,55,9,7,2,34,47,53,28,36,45,19,30,51,49,32,17,8,41,40,24,25,39,42,22,14,50,31,18,46,54,27,37,44,20,16,33,48,52,29,35,1}
Size: 56 :: {1,3,6,10,15,21,43,38,11,5,4,12,24,40,41,8,56,25,39,42,22,14,50,31,18,7,2,34,30,19,45,36,28,53,47,17,32,49,51,13,23,26,55,9,16,33,48,52,29,20,44,37,27,54,46,35,1}
Size: 57 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,36,28,53,47,34,30,51,49,32,17,19,45,55,26,38,43,57,24,12,37,44,20,29,52,48,33,16,9,40,41,8,56,25,39,42,22,27,54,46,35,1}
Size: 58 :: {1,3,6,10,15,21,4,5,11,25,39,42,58,23,13,36,28,53,47,2,34,30,51,49,32,17,19,45,55,26,38,43,57,24,40,41,8,56,44,37,12,52,48,33,31,50,14,22,27,54,46,18,7,9,16,20,29,35,1}
Size: 59 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,58,42,39,25,56,8,17,32,49,51,13,36,28,53,47,34,30,19,45,55,26,38,43,57,24,12,37,44,20,29,52,48,33,16,9,40,41,59,22,27,54,46,35,1}
Size: 60 :: {1,3,6,10,15,21,4,60,40,9,7,2,14,50,31,18,46,54,27,22,59,5,11,53,28,36,13,51,49,32,17,47,34,30,19,45,55,26,38,43,57,24,25,39,42,58,23,41,8,56,44,37,12,52,48,33,16,20,29,35,1}
Size: 61 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,58,42,22,59,41,8,28,53,47,34,30,51,49,32,17,19,45,36,13,12,37,27,54,46,35,29,52,48,33,16,20,44,56,25,39,61,60,40,9,55,26,38,43,57,24,1}
Size: 62 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,34,30,19,45,36,13,51,49,32,17,47,53,28,8,41,40,60,61,20,29,52,48,33,16,9,55,26,23,58,42,39,25,56,44,37,12,24,57,43,38,62,59,22,27,54,46,35,1}
Size: 63 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,12,24,57,43,38,26,55,9,16,33,48,52,29,20,44,56,25,39,61,60,40,41,8,17,32,49,51,30,34,47,53,28,36,45,19,62,59,22,42,58,63,37,27,54,46,35,1}
Size: 64 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,12,24,25,39,42,58,63,37,44,56,8,41,40,60,61,20,29,52,48,33,16,9,55,26,38,43,57,64,17,32,49,51,30,34,47,53,28,36,45,19,62,59,22,27,54,46,35,1}
Size: 65 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,12,24,25,39,42,58,63,37,44,56,65,35,46,54,27,22,59,62,19,45,36,28,53,47,34,30,51,49,32,17,64,57,43,38,26,55,9,16,33,48,52,29,20,61,60,40,41,8,1}
Size: 66 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,26,38,43,57,64,17,32,49,51,30,19,62,59,22,42,58,63,37,44,20,29,52,48,33,16,9,27,54,46,35,65,56,25,39,61,60,40,41,8,28,53,47,34,66,55,45,36,13,12,24,1}
Size: 67 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,12,24,25,39,42,58,63,37,44,56,65,16,9,27,22,59,62,19,45,36,64,57,43,38,26,55,66,34,30,51,49,32,17,47,53,28,8,41,40,60,61,20,29,52,48,33,67,54,46,35,1}
Size: 68 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,68,32,49,51,30,34,66,55,26,38,43,57,24,12,37,27,9,16,65,35,46,54,67,33,48,52,29,20,44,56,25,39,61,60,40,41,8,28,53,47,17,64,36,45,19,62,59,22,42,58,63,1}
Size: 69 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,68,32,49,51,30,34,66,55,26,38,43,57,24,12,69,52,29,20,44,37,27,9,16,48,33,67,54,46,35,65,56,25,39,61,60,40,41,8,28,53,47,17,64,36,45,19,62,59,22,42,58,63,1}
Size: 70 :: {1,3,6,10,15,21,4,5,11,14,50,31,18,7,2,23,13,68,32,49,51,70,30,34,66,55,26,38,43,57,24,12,69,52,29,20,44,37,27,9,16,48,33,67,54,46,35,65,56,25,39,61,60,40,41,8,28,53,47,17,64,36,45,19,62,59,22,42,58,63,1}
Size: 71 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,71,50,31,18,46,35,65,56,44,37,27,54,67,33,48,52,69,12,13,23,26,38,43,57,24,25,39,61,60,40,41,8,28,36,64,17,47,53,68,32,49,51,70,30,34,66,55,45,19,62,59,22,42,58,63,1}
Size: 72 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,71,50,31,18,46,35,65,56,44,37,27,54,67,33,48,52,69,12,13,23,26,55,66,34,47,53,68,32,17,64,36,45,19,30,70,51,49,72,28,8,41,40,60,61,39,25,24,57,43,38,62,59,22,42,58,63,1}
Size: 73 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,65,56,44,37,12,24,25,39,61,60,40,41,59,62,19,30,70,51,13,36,45,55,66,34,47,53,68,32,49,72,28,8,17,64,57,43,38,26,23,58,42,22,27,73,71,50,31,69,52,48,33,67,54,46,18,63,1}
Size: 74 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,65,56,44,37,12,13,36,64,17,8,28,72,49,32,68,53,47,74,70,51,30,34,66,55,45,19,62,59,41,40,60,61,39,25,24,57,43,38,26,23,58,42,22,27,73,71,50,31,69,52,48,33,67,54,46,18,63,1}
Size: 75 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,65,56,44,37,12,13,23,26,38,43,57,24,25,39,61,60,40,41,59,62,19,17,64,36,45,55,66,34,30,51,70,74,47,53,68,32,49,72,28,8,73,71,50,31,18,46,75,69,52,48,33,67,54,27,22,42,58,63,1}
Size: 76 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,65,56,44,37,12,13,23,26,38,43,57,24,76,45,55,66,34,30,51,70,74,47,53,68,32,49,72,28,36,64,17,19,62,59,41,40,60,61,39,25,75,46,18,63,58,42,22,27,54,67,33,48,52,69,31,50,71,73,8,1}
Size: 77 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,65,56,8,17,19,30,34,66,55,26,23,13,51,70,74,47,53,28,72,49,32,68,76,45,36,64,57,43,38,62,59,41,40,60,61,39,25,75,69,52,48,33,31,50,71,73,27,22,42,58,63,18,46,54,67,77,44,37,12,24,1}
Size: 78 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,65,56,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,27,37,44,77,23,58,42,39,61,60,40,41,59,62,38,43,57,64,36,45,76,24,25,75,69,12,52,48,73,71,50,31,33,67,54,46,18,63,1}
Size: 79 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,27,54,67,33,48,52,69,75,25,56,65,79,42,39,61,60,40,41,59,62,38,43,57,64,36,45,76,24,12,37,44,77,23,58,63,1}
Size: 80 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,42,79,65,56,44,77,23,58,63,37,27,54,67,33,48,52,12,69,75,25,39,61,60,40,24,76,45,36,64,57,43,38,62,59,41,80,1}
Size: 81 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,27,54,67,33,48,52,69,75,25,56,65,79,42,39,61,60,40,81,63,58,23,77,44,37,12,24,76,45,36,64,57,43,38,62,59,41,80,1}
Size: 82 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,59,41,23,77,44,37,27,54,67,33,48,52,12,69,75,25,56,65,79,42,58,63,81,40,60,61,39,82,62,38,43,57,24,76,45,36,64,80,1}
Size: 83 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,42,79,65,56,44,77,23,58,63,81,40,60,61,83,38,43,57,24,76,45,36,64,80,41,59,62,82,39,25,75,69,52,12,37,27,54,67,33,48,1}
Size: 84 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,55,66,78,22,27,54,67,33,48,52,12,69,75,25,56,65,79,42,39,82,62,59,41,40,81,63,58,23,77,44,37,84,60,61,83,38,43,57,24,76,45,36,64,80,1}
Size: 85 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,23,77,44,37,12,24,76,45,55,66,78,22,27,54,67,33,48,52,69,75,25,56,65,79,42,58,63,81,40,60,84,85,36,64,57,43,38,83,61,39,82,62,59,41,80,1}
Size: 86 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,23,77,44,37,27,54,67,33,48,52,12,69,75,25,56,65,79,42,22,59,62,82,39,61,60,84,85,36,64,57,24,76,45,55,66,78,43,38,83,86,58,63,81,40,41,80,1}
Size: 87 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,23,77,44,37,12,24,76,45,55,66,78,22,27,54,67,33,48,52,69,75,25,56,65,79,42,39,82,87,57,43,38,62,59,41,40,81,63,58,86,83,61,60,84,85,36,64,80,1}
Size: 88 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,23,41,40,24,76,45,55,66,78,22,27,54,67,77,44,37,84,60,61,39,42,79,65,56,25,75,69,12,52,48,33,88,81,63,58,86,83,38,43,57,87,82,62,59,85,36,64,80,1}
Size: 89 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,23,41,40,24,76,45,36,64,80,89,55,66,78,22,27,54,67,77,44,37,12,52,69,75,25,56,65,79,42,39,61,60,84,85,59,62,82,87,57,43,38,83,86,58,63,81,88,33,48,1}
Size: 90 :: {1,3,6,10,15,21,4,5,11,14,2,7,9,16,20,29,35,46,18,31,50,71,73,8,17,19,30,34,47,53,28,72,49,32,68,13,51,70,74,26,23,41,40,24,76,45,36,64,57,87,82,39,25,75,69,12,52,48,33,67,77,44,37,63,81,88,56,65,79,90,54,27,22,42,58,86,83,61,60,84,85,59,62,38,43,78,66,55,89,80,1}I'll try reaching 100.
Last edited by krassi_holmz (2006-02-06 22:15:41)
IPBLE: Increasing Performance By Lowering Expectations.
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#2 2006-02-06 22:58:01
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Circular sequence results
Size: 91 ::{1, 3, 6, 10, 15, 21, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 50,
71, 73, 8, 17, 19, 30, 34, 47, 53, 91, 78, 66, 55, 26, 74, 70, 51, 49, 72,
28, 36, 45, 76, 24, 12, 88, 33, 48, 52, 69, 75, 25, 39, 61, 60, 84, 85, 59,
62, 82, 87, 13, 68, 32, 89, 80, 64, 57, 43, 38, 83, 86, 58, 42, 22, 27, 37,
44, 56, 65, 79, 90, 54, 67, 77, 23, 41, 40, 81, 63, 1}
IPBLE: Increasing Performance By Lowering Expectations.
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#3 2006-02-06 23:00:18
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Circular sequence results
Size: 92 ::{1, 3, 6, 10, 15, 21, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 50,
71, 73, 8, 17, 19, 30, 34, 47, 53, 91, 78, 66, 55, 26, 74, 70, 51, 49, 72,
28, 36, 45, 76, 24, 25, 75, 69, 12, 88, 33, 48, 52, 92, 77, 67, 54, 90, 79,
65, 56, 44, 37, 27, 22, 42, 39, 61, 60, 84, 85, 59, 62, 82, 87, 13, 68, 32,
89, 80, 64, 57, 43, 38, 83, 86, 58, 23, 41, 40, 81, 63, 1}
IPBLE: Increasing Performance By Lowering Expectations.
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#4 2006-02-07 00:24:23
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Circular sequence results
Size: 93 :: {1, 3, 6, 10, 15, 21, 4, 5, 11, 14, 2, 7, 9, 16, 20, 29, 35, 46, 18, 31, 50, 71, 73, 8, 17, 19,
30, 34, 47, 53, 91, 78, 66, 55, 26, 74, 70, 51, 49, 72, 28, 93, 76,
45, 36, 64, 57, 43, 38, 62, 59, 85, 84, 60, 61, 83, 86, 58, 23, 41, 80,
89, 32, 68, 13, 87, 82, 39, 42, 22, 27, 37, 44, 56, 65, 79, 90, 54, 67,
77, 92, 52, 48, 33, 88, 12, 69, 75, 25, 24, 40, 81, 63, 1}
IPBLE: Increasing Performance By Lowering Expectations.
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#5 2006-02-07 03:45:14
- ryos
- Member
- Registered: 2005-08-04
- Posts: 394
Re: Circular sequence results
Are you doing these by hand?
El que pega primero pega dos veces.
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#6 2006-02-11 00:38:42
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Circular sequence results
No.
IPBLE: Increasing Performance By Lowering Expectations.
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#7 2006-02-11 00:40:10
- krassi_holmz
- Real Member
- Registered: 2005-12-02
- Posts: 1,905
Re: Circular sequence results
I forund a build-in function in Mathematica for finding hamiltoniain cycles in a graph. I've used it.
IPBLE: Increasing Performance By Lowering Expectations.
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