Short sequences statistics: Difference between revisions
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New page: Here are statistics on short sequences obtained with Alec's code. Feel free to add more. Using as a seed {0, +1} it found: * 2877 sequences of length 48 * 50404 sequences of length 96 |
corrected inversion and typo |
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[http://michaelnielsen.org/polymath1/index.php?title=Experimental_results Click here to go back to the main experimental results page]. | |||
* | Here are statistics on short sequences obtained by hand (up to length 6), with Alec's code (multiplicative ones), or with Chris's code (the rest). Feel free to add more. | ||
* | |||
For a discrepancy C=2 there are: | |||
* 2 sequences of length 3 | |||
* 10 sequences of length 4 | |||
* 14 sequences of length 5 | |||
* 26 sequences of length 6 | |||
* 44 sequences of length 7 | |||
* 88 sequences of length 8 | |||
* 100 sequences of length 9 | |||
* 152 sequences of length 10 | |||
* 240 sequences of length 11 | |||
* 370 sequences of length 12 | |||
* 556 sequences of length 13 | |||
* 882 sequences of length 14 | |||
* 750 sequences of length 15 | |||
* 1500 sequences of length 16 | |||
* 2250 sequences of length 17 | |||
* 2784 sequences of length 18 | |||
* 4284 sequences of length 19 | |||
* 6438 sequences of length 20 | |||
* 6062 sequences of length 21 | |||
* 9526 sequences of length 22 | |||
* 14856 sequences of length 23 | |||
* 22944 sequences of length 24 | |||
* 26164 sequences of length 25 | |||
* 39528 sequences of length 26 | |||
* 35122 sequences of length 27 | |||
* 54800 sequences of length 28 | |||
* 80940 sequences of length 29 | |||
* 81326 sequences of length 30 | |||
* 122422 sequences of length 31 | |||
* 244844 sequences of length 32 | |||
* 234934 sequences of length 33 | |||
* 356154 sequences of length 34 | |||
* 309068 sequences of length 35 | |||
* 388042 sequences of length 36 | |||
* 589796 sequences of length 37 | |||
* 900000 sequences of length 38 | |||
* 813466 sequences of length 39 | |||
* 1212450 sequences of length 40 | |||
* 1837030 sequences of length 41 | |||
* 1882194 sequences of length 42 | |||
* 2921946 sequences of length 43 | |||
* 4544342 sequences of length 44 | |||
* 2274560 sequences of length 45 | |||
* 3542738 sequences of length 46 | |||
* 5495686 sequences of length 47 | |||
* 8436986 sequences of length 48, of which 89 are multiplicative | |||
* 9597362 sequences of length 49 | |||
* 11352364 sequences of length 50 | |||
* 10876536 sequences of length 51 | |||
* 16040144 sequences of length 52 | |||
* 23626898 sequences of length 53 | |||
* 24060696 sequences of length 54 | |||
* 22332908 sequences of length 55 | |||
* 34665316 sequences of length 56 | |||
* 32813078 sequences of length 57 | |||
* 48774494 sequences of length 58 | |||
* 77333978 sequences of length 59 | |||
* 79086932 sequences of length 60 | |||
* 118815026 sequences of length 61 | |||
* 181723488 sequences of length 62 | |||
* 101003862 sequences of length 63 | |||
* 202007724 sequences of length 64 | |||
* 171112060 sequences of length 65 | |||
* 175332604 sequences of length 66 | |||
* 266556200 sequences of length 67 | |||
* 388397590 sequences of length 68 | |||
* 379477372 sequences of length 69 | |||
* 355489350 sequences of length 70 | |||
* 544231036 sequences of length 71 | |||
* 685850834 sequences of length 72 | |||
* 1035438526 sequences of length 73 | |||
* 1600139990 sequences of length 74 | |||
* 967443184 sequences of length 75 | |||
* 1435672238 sequences of length 76 | |||
* 1335563798 sequences of length 77 | |||
* 1305891128 sequences of length 78 | |||
* 1985108178 sequences of length 79 | |||
* 2984972718 sequences of length 80 | |||
* 2245417744 sequences of length 81 | |||
* 3449035210 sequences of length 82 | |||
* 5401519132 sequences of length 83 | |||
* 5272055840 sequences of length 84 | |||
* 4470731784 sequences of length 85 | |||
* 7013199284 sequences of length 86 | |||
* 6544305958 sequences of length 87 | |||
* 10138992314 sequences of length 88 | |||
* 15284191798 sequences of length 89 | |||
* 9839916650 sequences of length 90 | |||
* 8579138578 sequences of length 91 | |||
* 13353765596 sequences of length 92 | |||
* 12170187396 sequences of length 93 | |||
* 18839898968 sequences of length 94 | |||
* 17144676512 sequences of length 95 | |||
* 26322363104 sequences of length 96, of which 119 are multiplicative | |||
* 39457407576 sequences of length 97 | |||
* 48303722254 sequences of length 98 | |||
* 27179767280 sequences of length 99 | |||
* 31055060100 sequences of length 100 | |||
* ... | |||
* ????? ? sequences of length 192, of which 304 are multiplicative | |||
More precise data about multiplicave sequences themselves is available [http://michaelnielsen.org/polymath1/index.php?title=Multiplicative_sequences on this page]. |
Latest revision as of 10:03, 22 January 2010
Click here to go back to the main experimental results page.
Here are statistics on short sequences obtained by hand (up to length 6), with Alec's code (multiplicative ones), or with Chris's code (the rest). Feel free to add more.
For a discrepancy C=2 there are:
- 2 sequences of length 3
- 10 sequences of length 4
- 14 sequences of length 5
- 26 sequences of length 6
- 44 sequences of length 7
- 88 sequences of length 8
- 100 sequences of length 9
- 152 sequences of length 10
- 240 sequences of length 11
- 370 sequences of length 12
- 556 sequences of length 13
- 882 sequences of length 14
- 750 sequences of length 15
- 1500 sequences of length 16
- 2250 sequences of length 17
- 2784 sequences of length 18
- 4284 sequences of length 19
- 6438 sequences of length 20
- 6062 sequences of length 21
- 9526 sequences of length 22
- 14856 sequences of length 23
- 22944 sequences of length 24
- 26164 sequences of length 25
- 39528 sequences of length 26
- 35122 sequences of length 27
- 54800 sequences of length 28
- 80940 sequences of length 29
- 81326 sequences of length 30
- 122422 sequences of length 31
- 244844 sequences of length 32
- 234934 sequences of length 33
- 356154 sequences of length 34
- 309068 sequences of length 35
- 388042 sequences of length 36
- 589796 sequences of length 37
- 900000 sequences of length 38
- 813466 sequences of length 39
- 1212450 sequences of length 40
- 1837030 sequences of length 41
- 1882194 sequences of length 42
- 2921946 sequences of length 43
- 4544342 sequences of length 44
- 2274560 sequences of length 45
- 3542738 sequences of length 46
- 5495686 sequences of length 47
- 8436986 sequences of length 48, of which 89 are multiplicative
- 9597362 sequences of length 49
- 11352364 sequences of length 50
- 10876536 sequences of length 51
- 16040144 sequences of length 52
- 23626898 sequences of length 53
- 24060696 sequences of length 54
- 22332908 sequences of length 55
- 34665316 sequences of length 56
- 32813078 sequences of length 57
- 48774494 sequences of length 58
- 77333978 sequences of length 59
- 79086932 sequences of length 60
- 118815026 sequences of length 61
- 181723488 sequences of length 62
- 101003862 sequences of length 63
- 202007724 sequences of length 64
- 171112060 sequences of length 65
- 175332604 sequences of length 66
- 266556200 sequences of length 67
- 388397590 sequences of length 68
- 379477372 sequences of length 69
- 355489350 sequences of length 70
- 544231036 sequences of length 71
- 685850834 sequences of length 72
- 1035438526 sequences of length 73
- 1600139990 sequences of length 74
- 967443184 sequences of length 75
- 1435672238 sequences of length 76
- 1335563798 sequences of length 77
- 1305891128 sequences of length 78
- 1985108178 sequences of length 79
- 2984972718 sequences of length 80
- 2245417744 sequences of length 81
- 3449035210 sequences of length 82
- 5401519132 sequences of length 83
- 5272055840 sequences of length 84
- 4470731784 sequences of length 85
- 7013199284 sequences of length 86
- 6544305958 sequences of length 87
- 10138992314 sequences of length 88
- 15284191798 sequences of length 89
- 9839916650 sequences of length 90
- 8579138578 sequences of length 91
- 13353765596 sequences of length 92
- 12170187396 sequences of length 93
- 18839898968 sequences of length 94
- 17144676512 sequences of length 95
- 26322363104 sequences of length 96, of which 119 are multiplicative
- 39457407576 sequences of length 97
- 48303722254 sequences of length 98
- 27179767280 sequences of length 99
- 31055060100 sequences of length 100
- ...
- ????? ? sequences of length 192, of which 304 are multiplicative
More precise data about multiplicave sequences themselves is available on this page.