Short sequences statistics

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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.